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Sampling distribution 2017-10-16
From Esther:
I need 4digits combination of 235689 and without replacement. Thanks
Answered by Penny Nom.
A 4 sided lot 2017-08-15
From Micheal:
If one side of .4 acre is 25 feet what would the other three sides be
Answered by Penny Nom.
Teams of 4 from 20 people 2017-08-04
From Christopher:
math team has 20 people on the team but only 4 can enter the competition. The team captain has to pick 4 of them but he knows that he cannot put James, Bill or Todd on the team with one another or there will be problems. what would the formula be to find the solution to how many possible team combinations the are
Answered by Penny Nom.
A 4 digit safe combination 2017-07-29
From Donna:
I lost my safe combination :( it is 4 digit # with the last digit being 2. I do not think the 1st digit is 1, 2 or 3
Can u help? Thank u :)

Answered by Penny Nom.
Some 4 digit numbers 2017-07-24
From Camille:
I need all of the 4 digit combinations that starts with number 3 and digits can't be repeated
Answered by Penny Nom.
The smallest and largest 4 digit integers 2017-06-13
From Avneetpal:
Difference of the smallest and biggest 4-digit number
Answered by Penny Nom.
4 digit codes with repeating digits 2017-06-01
From Morgan:
what are all possible 4 digit code repeating numbers? cuz i know that you have one website on it but, it doesn't repeat 2 numbers in a code.
Answered by Harley.
A 40 acre square 2017-05-14
From Richard:
How many feet on each side of 40 acre square ?
Answered by Penny Nom.
Is a large integer divisible by 2^n? 2017-03-28
From Sahand:
You are given number x that is very large (that large that it can't be divided by hand) can we find out that x is divisible by 2^n or not?
Answered by Penny Nom.
More on calculating the area (acreage) of a four-sided lot 2017-03-06
From Kerri:

Can you please show the formula used to calculate areas as provided on this page:

Calculating the area (acreage) of a four-sided lot


Answered by Penny Nom.
Four digit numbers 2016-09-08
From ning:
0000-9999 there is ten thousand 4-digit numbers. How to find the number of ways that 4 digit are the same? How to prove it by using formula?
Answered by Penny Nom.
A 1.4 acre square 2016-06-28
From Jamie:
Dear Faithfullness,

I was previously to be purchasing a square 1 acre plot, which I believe was to have 209feet, 4 sides perimeter.

How big would a 1.4 acre site be?
In sq feet length ie original 209ft + (the adeed 0.4)

Answered by Penny Nom.
The area of a 4-sided lot 2016-05-25
From prasad:
How to find area of a land whose sides are 41ft,33ft,32.3ft and 33.2 ft. Pl give me the formula and proof.
Answered by Penny Nom.
A six digit code 2016-05-06
From Ralph:
How many combinations are possible if a "safe" has four buttons and you can use a six digit code? (these are just single press buttons..)For example, this could be one possible combination: Button 4 Button 1 Button 1 Button 3 Button 2 Button 4. Thanks!
Answered by Penny Nom.
How can I express Sin 4A in term of Sin A? 2016-02-22
From Odukoya:
How can I express Sin 4A in term of Sin A?
Answered by Penny Nom.
Subtraction in a base larger than ten 2016-01-31
From Jenalee:
Hello,

So happy I found this site. I am having problems with bases. My question is 97B9 - 6A3A base 16 for both.

Please help.

Answered by Penny Nom.
Four consecutive integers 2016-01-05
From sherica:
my teacher gave us an assignment and it says here that; THERE ARE FOUR CONSECUTIVE INTEGERS.IF THE SMALLEST ONE IS x ,FIND THE SUM OF THE FOUR INTEGERS. that is the question ...thanks hope that u can answer it
Answered by Penny Nom.
The perimeter of a 4 acre square 2015-12-16
From samantha:
What is the distance in miles or how many laps to make a mile, if one was walking around 4 acres of land which is like a square?
Answered by Penny Nom.
A 4 by 7 array 2015-10-27
From star:
don breaks a 4x7 array into a 2x7 array and another array.what is the fact for don's second array
Answered by Penny Nom.
A fantasy football league 2015-06-11
From Jason:
Hello. We have a fantasy football league with 14 teams. The season is 13 weeks long and we would like to figure out a way to have two divisions of seven teams each with each team playing their inter-division opponents twice. Is there a way to set this up? I cannot seem to find a way to do it. Thanks!
Answered by Victoria West.
Golf for 14: 2 fourballs and 2 threeballs 2015-05-20
From martin:
I have to organize 14 players to play four rounds of golf. Each round comprise two fourballs and two three balls .

What's the best combination to ensure that each persons plays with as many of the others as possible without playing with somebody more than twice?

Answered by Victoria West.
The game of 24 2015-03-28
From Suzanne:
I love this game! Cannot figure out 4,9,10,16 to equal 24? Help!
Answered by Penny Nom and Claude Tardif.
The game of 24 2015-01-21
From aaron:
24 game whants me to use 11 14 5 and 9 to make 24 allowed (+ - dividing and multiplying)
Answered by Penny Nom.
4 card hands 2014-11-02
From Ronaldo:
How many Mus hands (combination of 4 cards allowing repetitions) can be made from a deck containing 8 types of cards?

RRRR, RRRC, RRRS, RRR7, RRR6, RRR5, RRR4, RRRA,
RRCC, RRCS, RRC7, RRC^, RRC5, RRC4, RRCA,
RRSS, RRS7, etc.

I think 330. If so, what is the formula?

Answered by Penny Nom.
logbase4 (sin x) = -0.5 2014-10-26
From Susan:
Solve for x: logbase4 (sin x) = -0.5
Answered by Penny Nom.
A 14 team golf league 2014-07-11
From Pat:
We have a 14 team golf league that plays a 16 week schedule. Playing once per week, I need a schedule where each team plays every other team at least one time.
Answered by Victoria West.
A rotation schedule for 14 teams 2014-07-08
From Daniel:
I am organizing team activities for a summer camp. We have 14 teams and 7 rotations and 7 different games. every team will play a different game each rotation. Where I am having trouble is I would like each team to play a different team each rotation without a repeat. Is that possible? if so what is the formula?
Answered by Victoria West.
14 golfers, 7 men and 7 women 2014-07-06
From John:
I have to schedule 14 golfers, 7 men and 7 women, into 4 teams each day, playing for 3 days. So each player plays with as many different players as possible for 3 games.
Answered by Victoria West.
How can eight eights be 1000? 2014-06-20
From Aamir:
The digit 8 if we add it 8 time in it the answer should be equal to 1000.it may possible.i.e., 8+8+8+8+8+8+8+8=1000
Answered by Penny Nom.
14 golfers for 13 weeks 2014-05-17
From Judi:
I want to schedule each of my 14 golfers to play each of the other girls one time during a 13 week period. We would golf in foursomes , threesomes or twosomes to make this happen. Can you send me a grid that would do this scheduling? I'm at a loss as to how to do it!!
Answered by Victoria West.
Golf for 14 players over 12 weeks 2014-05-16
From Judi:
How would I develop a playing schedule using foursomes and one twosome for 14 players who will play 12 weeks and each person would play all but one of the others?
Answered by Victoria West.
4 golfers in twosomes 2014-05-04
From Lori:
4 golfers want to play as 2 somes every week, but rotate the 2 players so we all play together With each other evenly thru out the summer
Answered by Victoria West.
1÷[1-√2(order of surd is 4)] 2014-05-02
From Anoushka:
if t=1÷[1-√2(order of surd is 4)] , then t=?
Answered by Penny Nom.
A golf league consisting of 14 two man teams 2014-04-10
From Kevin:
Hello, I need to make a schedule for a golf league consisting of 14 two man teams playing over the course of 20 weeks. I understand that each team will play at least once and I believe 7 teams will play each other twice over the course of the season. How would I generate this schedule. Thank you, Kevin Perry
Answered by Victoria West.
A 4 digit number 2014-04-04
From LIM:
"A" is a 4 digit number formed by all the numbers from 1 to 4. When "A" is divided by 9, the remainder is the biggest possible value. What is the biggest value of A?
Answered by Chris Fisher.
A schedule for an 8 man golf team playing 4 each week 2014-04-01
From Harold:
We have an 8 man golf team and wish to schedule only 4 to play each week and to have each member play with one of the other 7 at least once. What is the simplest method. Number of weeks could be up to 18 or so.
Answered by Victoria West.
12 golfers, 24 weeks 2014-03-27
From George:
I have 12 golfers and want to set up a season schedule that will avoid duplication of playing partners as much as possible. The saeson is 24 weeks long. Do you have a formula?
Answered by Victoria West.
14 teams divided into two equal divisions 2014-03-18
From C:
We have 14 teams divided into two equal divisions. We want each team to play each team in their division one time and four teams from the other division one time. What is the schedule
Answered by Victoria West.
24 golfers playing 3 rounds 2014-03-10
From Jim:
How can I rotate 24 golfers playing 3 rounds of golf so that none of them play with the same person twice.
Answered by Victoria West.
Four digit phone numbers 2014-02-25
From Tom:
Hi, I'm an online math teacher, working on lessons for my students.

This question is in their book and I can't do it...! Help!

It has to do with phone numbers, and in this problem, we are only dealing with the last 4 digits of the number.

It asks how many possible numbers we have if at least one digit repeats in the last 4 digits of the number.

Answered by Penny Nom.
The graph of f(x)=x^2-4 2014-02-07
From Allison:
Graph f(x)=x^2-4 and give the five point of the x/y intercepts.
Answered by Penny Nom.
A 4 digit number 2013-12-20
From swathi:
How many 4 digit numbers can be formed using the digit 3 only once but the digit 3 must be used in all numbers?
Answered by Penny Nom.
Schedule for a 4 team basketball league 2013-12-08
From Sommer:
I need a schedule for my kids basketball league. There are 4 teams. We will play every Saturday for 4 weeks with 4 games per Saturday. Week 5 will be the playoffs where 1st will play 4th and 2nd will play 3rd. Week 6 will be winners of week 5. Please help!!
Answered by Victoria West.
Four tangent circles 2013-10-09
From Nilesh:
Four circular cardboard pieces, each of radius 7cm are placed in such a way that each piece touches two other pieces. How to find the area of the space enclosed by the four pieces?
Please let me know.

Answered by Robert Dawson.
Two teams of 4 playing 4 rounds of golf 2013-09-29
From Tom:
We would like to play a ryder cup format with two teams of 4 playing 4 rounds of golf. Three of the rounds would be pairs playing each other and one round would be singles. How can we set up the foursomes so we balance the number of times we play with every other golfer.
Answered by Victoria West.
14 golfers in two person teams 2013-09-04
From Stewart:
How to rotate 14 golfers in two person teams without duplication until all have been paired at least once. Play is once per week.
Answered by Victoria West.
The perimeter of a 1.4 acre square 2013-08-29
From Destini:
I cannot figure out what the perimeter for 1.4 acres of land in the shape of a square. I have tried and tried and eventually tried to use a calculator and I still can't figure it out. Can you help me? Thanks!
Destini

Answered by Penny Nom.
Tesseract 2013-08-22
From Dan:
I am not a mathematician. This seems to me an intuitively simple enough problem that I very much need an answer to from someone who's mathematics are better than mine. Please help.

The question is: for a tesseract of side length = 1 what is the distance of the center of each cube from the center of the tesseract ?

I think I have calculated the distance of each vertex from the center, and of the center of each edge from the center, but the question above baffles me.

(anyone not having a clue what I am talking about can brush up here http://en.wikipedia.org/wiki/Tesseract )

Thanks in advance - Dan V

Answered by Robert Dawson.
4 couples golfing 2013-07-06
From Brian:
We have 4 couples going on a 4 day golf vacation playing 4 rounds of golf. I have spent hours trying to set up a schedule that allows the 4 spouse to play together, and then each spouse to play with one of the other spouses (men with women) for the] other 3 rounds.
I would like the foursomes to be different as possible. Also, no-one should RIDE in a cart with the same person more than once.
I am not a math guy so I try to do this by working it out on paper, over and over again. It ain't working!!
If you can help, I am very thankful.
Brian

Answered by Victoria West.
4 linear equations with 3 unknowns 2013-04-12
From Marian:
how to solve for 3 unknowns in 4 simultaneous equations
Answered by Penny Nom.
The distance between 2 lines in 4D 2013-04-01
From samane:
how can i measure the distance between 2 lines in 4D??
Answered by Chris Fisher.
A 4 digit code 2013-03-26
From chris:
I saw a previous question about a 4 digit code type thing and I was wondering if you could email me that same type of thing. I changed the pin number on my phone's lock screen and I tried hard to remember it, then I had to go help my mom with something and I automatically forgot it and there is no way for me to get back on my phone. I need all of the possible 4 digit number combinations without the numbers 0, 1, or 2. It cannot be repeating, ascending, or descending.
I know you may not want to do all of them, but I really need it.

Answered by Robert Dawson.
6 digit permutations from {1-49} 2012-12-27
From ange:
how many six digits numbers permutations can be formed with the set {1-49} if no digit is used twice in each permutation??
Answered by Penny Nom.
A 4 digit phone lock using the digits 4, 2, 3 and 0 2012-12-24
From Ragu:
I would like to know formula for searching a combination of 4 digit. eg.

I knew my Phone Lock combination is my car plate number 4230. But this time, i used another way around instead of 4230.

But I am sure, there is only this 4 digits only. 4 & 2 & 3 & 0

Answered by Penny Nom.
Some 4 digit numbers 2012-10-25
From samira:
How many 4-digit numbers are there in which the first and last digits are the same?
Answered by Penny Nom.
4 digit combinations 2012-10-17
From Scott:
How many different 4- number combinations from 0-1-2-3-4-5-6-7-8-9 with 2 out of the 4 odd and 2 out of the 4 even, with no numbers repeating. Thanks
Answered by p.
A four digit number 2012-10-09
From cyndi:
find this 4 digit number: the tens digit is 1/3 of the hundreds digit; the 2 digit number formed by the tens and ones digits i the largest prime number smaller than 40; the sum of all 4 digits is the same as the number of face on an icosahedron ? what is the number?
Answered by Penny Nom.
Four tangent circles 2012-10-04
From renu:
inside of a circle K of radius length measure R,three circular discs A,Band C each of radius r are placed so that each touches the other two and K . express R in terms of r. in the space between K, A and B , another circular disc D is placed which just touches K, A and B. if the radius is s, show that (6+root3)s=(2+root3)r
Answered by Penny Nom.
A sand box with 14 sides 2012-07-10
From Tom:
Want to build a sand box for a pool that is fourteen foot round wanted to make it in fourteen pieces of wood what angle would each piece be and how long would each piece be
Answered by Harley Weston.
6/49 2012-05-25
From Mark:
Can you explain why the lotto 6/49 (a lottery of 49 numbers and 6 slots) is a combination and not a permutation?

It seems to me that it would a permutation given that the numbers are written in numeric "order" when you look them up in the newspaper.

I realize that 49P6 is orders of magnitude larger than 49C6. But I am confused about the reasoning behind it.

Answered by Robert Dawson.
Golf: 8 players over 4 days in 4-balls 2012-05-03
From JimB:
I cannot seem to get this to work. Previous answers cover 2-balls, but we are 4-balls.

What we really want is for each player to play with each other, at least once and no more than twice.
Ideally, each would also play equally in the first and the second 4-ball of the day.

Answered by Victoria West.
A 14 man golf league 2012-04-12
From Paul:
14 man golf league. Need to have alternating 2 man teams for 18 weeks. Need to rotate foursomes so no one is stuck in twosome more than once. Can you help?
Answered by Robert Dawson and Victoria West.
240 acres 2012-02-17
From jon:
How many linear feet are in a 240 acre rectangle piece of property
Answered by Harley Weston.
Converting from base 4 to base 10 2011-11-29
From anjg:
How to convert base 4 number 2^11 to base 10 number?
Answered by Penny Nom.
4 x 2 2011-08-30
From Lucjan:
how to sketch a diagram that shows 4x2 expression?
Answered by Penny Nom.
58 choose 4 2011-08-26
From Jean:
Using only the numbers 1-59, how many times would the number 23 appear in combinations of 5 numbers?
... Can a list be provided as well?
Thank you very much,
Jean

Answered by Penny Nom.
A group of 40 golfers 2011-07-11
From Doug:
We are a group of 40 golfers who play in 10 x foursomes playing 3 rounds. Can we all play with different players each round yet maintain the foursomes format.
Answered by Victoria West.
Golf for 14 2011-07-11
From Doug:
We have 14 players playing over 4 days. can we play with different players every day and keep the 3 x foursomes and 1 x pair format
Answered by Victoria West.
The game of 24 2011-05-06
From shaylin:
how do you use 3,9,7,9 once in any operation equal to 24?
Answered by Penny Nom.
Golf pairings 2010-12-17
From AL:
I have a golf tourney where we have fourteen players and are playing five times/rounds of golf. I am trying to pair up two threesomes and two foursomes so we don't play with the same person twice or the least amount of times.
Answered by Victoria West.
The game of 24 2010-10-26
From gabrielle:
What is the answer using the numbers 0 0 0 0 (trig and calc are allowed, all math is allowed) in the game 24?
Answered by Claude Tardif.
The area of a 4 sided region 2010-07-14
From Cliff:
If I wanted to know the square footage of an area that has four different sides and only had the length of one side and the angles at the ends of that length; could the other lengths be found if I wanted to have a total of 130,680 square feet?
Answered by Robert Dawson and Tyler Wood.
Four circles in a square 2010-06-04
From Daniela:
four circles are drawn in a square such that the circles are tangent to each other as shown. find the area of the shaded region. It the goes on to show a diagram with a square and four circles drawn in it. The length of a side of the square is 24. Please help me!
Answered by Penny Nom.
More on carbon 14 dating 2010-05-26
From Malachi:
I am doing carbon 14 dating and i figured out the rule for taking the percent of the original C-14 to figure out how old it is. how do I work the equation the other way around to find the percent remaining, from how long ago the objects organic mater died
Answered by Harley Weston.
A 14 side well house cover 2010-03-12
From Kenneth:
I am 35 yr I am wanting to build a well house cover. I'm trying to figure out how long the pieces need to be and what angle they need to be for a 4 ft dia with 14 side well house. I would love an answer but would also like to know how to figure it in the future. Thanks Kd
Answered by Harley Weston.
The game of 24 2010-02-20
From haley:
hello.... we have these very hard make 24 stumpers. i am stuck on one.... how can you make 24 using the numbers 7-7-13-18?? thanks!
Answered by Claude Tardif.
4-digit positive numbers 2010-02-15
From marjon:
Find the sum of all the 4-digit positive numbers with no zero digit.
Answered by Penny Nom.
1^3 + 2^3 + 3^3 +4^3 ... n^3 = ? 2010-01-29
From ireimaima:
Hi..
Can u please help me with this question.. I find that when i test eg: n=2 for n (n+1) /4, it seems that it does not giving me the right answer of 1^3 + 2^3 = 9 but 3/2... i'm confuse..can u please help me..thanks so much

Prove that: 1^3 + 2^3 + 3^3 +4^3………………………………..n^3 = n (n+1) /4

Answered by Penny Nom.
A 4-digit phone code 2010-01-21
From pat:
my daughter can`t remember her 4-digit code to unlock her phone. she is pretty sure it starts with a 4. can you help us? my brain is locked up
Answered by Robert Dawson.
Expressing the natural numbers in terms of 4 fours. 2010-01-19
From Steve:
When I was studying mathematics, there were several of us that tried to express the natural numbers in terms of 4 fours. Allowing the use of any known math operation, for example n to the zeroth power is 1.Is there more info on this exercise. This was done mentally, nothing written down.
Answered by Robert Dawson.
Four digit numbers with no repeats 2010-01-02
From Daniel:
I want to know how many different numbers there would be between the numbers 0000-9999 that do not have any numbers that duplicate or repeat in the number? For example the first number would have to be 0123 and the last would be 9876 (I think) Thanks!
Answered by Penny Nom.
A 4 digit number 2009-12-15
From Lisa:
Billy Club was assigned the task of putting numbers on all the playground balls used during daily recess. Billy will number the balls using the following rules:

1. It will be a 4-digit number.

2. The digit in the thousands place will be a 1 or a 2.

3. The digit in the hundreds place will be a 2, 4, or 6.

4. The digit in the tens place will be an odd number.

5. The digit in the ones place will be greater than six.

How many balls can Billy number if he follows these rules?

Answered by Robert Dawson.
Game of 24 2009-12-09
From Tony:
Checked out all of the previous inquiries into the crazed game, and found none with these particular numbers: 1, 4, 6, 7. I've tried every method I can think of, please Help! Tks.
Answered by Robert Dawson, Penny Nom and Claude tardif.
Four consecutive odd integers 2009-10-24
From Tonya:
the sum of four consecutive odd intergers 2008 what are the intergers
Answered by Penny Nom.
24 golfers, 6 days 2009-10-03
From patrick:
i need a pairing schedule for 24 golfers for six days playing in foursomes. Please
Answered by Victoria West.
Game of 24 2009-10-02
From trami:
game of 24 by using -4 -7 -7 1?
Answered by Claude Tardif.
24 golfers 2009-10-01
From Peter:
I am working on a 19 week golf schedule with 24 golfers, and I would like to know how to make up six foursomes each week without having a player paired with the same golfers.
Answered by Victoria West.
Game of 24 2009-09-24
From vanessa:
Using the following numbers 13,6,6, and 12 to equal 24. Using 5th grade math
Answered by Penny Nom and Claude Tardif.
24 golfers: 4 days 2009-09-21
From Steven:
We have 24 golfers (6 A's, 6 B's, 6 C's & 6 D's) playing 4 days. Each day a foursome consist of an A, a B, a C & a D player. Can you give me a pairing list so that no two golfers will play on the same foursome for the 4 days?
Answered by Chris Fisher and Victoria West.
Dart teams 2009-09-18
From Sally:
I have 14 dart teams. Each team has a home bar.Usually it is one week home, the next week away. I have 3 locations that have one board only, yet have 2 teams at each location. I have one location that has 2 dart boards, and 3 teams. The last location have 3 dart boards and 4 teams.Can you make me a schedule that will be home and away, and every teams plays each other twice. In case you are wondering, the bars sponsor the teams.Thank you. Sally
Answered by Robert Dawson.
The game of 24 2009-08-27
From ANITA:
Help I'm suppose to be a math expert, yet I can not yield 24 from the numbers 8,4,9,9, using each only once. HELP
Answered by Penny Nom.
The game of 24 2009-08-26
From melvi:
how can you get the numbner 24 but only useing the numbers 7,5,4,5
Answered by Penny Nom.
The smallest 4 digit number 2009-06-17
From Kat:
What is the smallest 4 digit number? 0001 or 1000
Answered by Robert Dawson.
Game of 24 2009-05-22
From Sam:
Using the numbers 7, 3, 2, and 2, how do you get the number 24?
Answered by Claude Tardif and Harley Weston.
Combinations and permutations 2009-05-07
From Renee:
We are trying to figure out the equation or how to solve the problem of how many combinations of 4 digits you can get out of 0-9 without repeating the numbers in a set (i.e., no 0001, 0002) begining with 0123, 0124, 0125 etc Thanks!
Answered by Stephen La Rocque.
Game of 24 2009-05-02
From Barbara:
using the numbers 1,3 7 and 9 only once how do you get the answer of 24
Answered by Claude Tardif.
Four-digit combinations 2009-04-18
From Carri:
How many 4-digit combinations can be made out of digits 1, 2, 3, 4, & 5 using each number once? What are the combinations?
Answered by Penny Nom.
Four-digit numbers 2009-04-11
From jp:
How many four-digit numbers are there?
Answered by Penny Nom.
Game of 24 2009-04-08
From Joe:
How do you get 24 using 6,9,10,10 once. Its called the 24 game.
Joe

Answered by Harley Weston.
Game of 24 2009-04-05
From Ramona:
math 24 using 16, 9, 20, 7
Answered by Penny Nom.
0123456789 2009-03-25
From Dr.:
Many years ago I discovered that there are 33 numbers which, when multiplied by 0123456789, simply rearrange the digits. Surprisingly (to me at least) is the fact that the digits of all of those 33 numbers add up to one of the 6 "cardinal" numbers 1, 2, 4, 5, 7, and 8. For example 6 + 2 = 8 and 62 X 0123456789 = 7654320918 etc.
Another interesting (to me) fact is that only the cardinal numbers 1, 2, 4, 5, 7, and 8 rearrange the digits in the number 9876543210.
My question is: "Is this known to anyone but me and the people I have told?"

Answered by Robert Dawson.
Choosing a 4 digit number at random 2009-03-24
From shabkhal:
If a four-digit number is chosen at random, what is the probability that the product of the digits is 12.
Answered by Harley Weston.
4 digit numbers from 1159 2009-03-10
From David:
I have the digits "1159" and need to come up with a complete list of possible four-digit combinations. It does NOT matter the order of the two number ones (1), so this will help eliminate many possibilities.

Separately, it would also help to actually know the actual number of combinations with which I am dealing to start.

David :)

Answered by Penny Nom.
Four digit numbers 2009-03-10
From Theresa:
I need to know the number of 4 digit numbers that can be formed using 1-2-3-4 without repeating numbers
Answered by Penny Nom.
A 14 team league that is divided into 2 divisions 2009-03-07
From Ronnie:
I have a 14 team league that is divided into 2 divisions. We have a total of 18 weeks to play. I would like for each team to play the team in their division twice. The remaining 6 weeks would be played with the other division. Any help would be appreciated.
Answered by Chris Fisher and Victoria West.
4 digit strings starting with 7 2009-03-03
From Angel:
I need to no all the 4 digit combinations starting with 7 and with no repititions.
Answered by Penny Nom.
The game of 24 2009-03-01
From Jeff:
My son in the 5th grade was given a problem for extra credit and could use parents help. He was given the numbers 21, 13, 9, 6 and asked to use each number only once by +, -, /, x the numbers in any order to obtain an answer of 24.
Answered by Harley Weston.
Buying 13,983,816 tickets for the 6/49 lotto 2009-02-23
From luis:
if 6/49 lotto combinations is 13,983,816 combinations at 10.pesos per combinationthe price amount is 139,838.160.00 is it wise for me to get all the combinations since the the pot money is more than 347 million pesos. Am I right?
Answered by Robert Dawson and Penny Nom.
Four digit numbers using 1, 0, 2 and 8 2009-01-27
From Mike:
How many combinations of this four digit number 1028 can this produce only using those numbers. Example would be 0000, 0001,0002,0008,0010,0011,0012,0018,etc...
Answered by Penny Nom.
A four digit passcode 2009-01-12
From john:
i have a machine at home that has a four digit passcode and the numbers range from 1 to 4 how can i get all the ways those numbers can be used
Answered by Harley Weston.
A 4-digit number 2009-01-05
From Anya:
It is a 4-digit number

The tens are double the ones.

The thousands are double the tens.

The sum of the digits is 19.

What number is it?

Answered by Penny Nom.
24 golfers playing golf for 9 rounds 2008-12-23
From Duane:
Got 24 golfers playing golf for 9 rounds. Any formula where everyone can play with everyone else at least once. We are playing 4somes only. Thanks, Duane
Answered by Victoria West.
Golf - 24 guys 4-somes 6 rounds 2008-12-07
From Duane:
Thank you. What about 24 guys 4-somes 6 rounds everyone playing with each other at least once.

Thanks again.
Duane

Answered by Victoria West.
The game of 24 2008-11-24
From Davey:
this has us all stumped. 5 ,5 ,7 ,and9 = 24. Oh may you assist in ending our brain pain
Answered by Penny Nom.
A 4 digit number 2008-11-06
From Chris:
numbers 0 - 9 form a 4 digit number with no repetition.

It would round to 3000 if rounded to the nearest thousand

The digit in the tens place is twice the value of the digit in the thousands place.

It is an odd number.

It contains the largest digit.

It contains one digit less than 2.

The digit in the hundreds place is odd.

Can you find the 2 numbers?

Answered by Penny Nom.
Forming 10 from 4 fours 2008-11-06
From Corderro:
I need a answer for 10 using only the number 4
Answered by Penny Nom.
4 digit combinations 2008-11-05
From Laura:
I need to know all the number combinations possible with a 4 digit combination with double zero in the middle???
Answered by Penny Nom.
Cutting a pipe on a 45 degree angle 2008-09-12
From Bakshani:
how do you a mark a pipe 5 inch diameter and cut it to form a 45 degree angel
Answered by Stephen La Rocque.
The game of 24 2008-08-20
From Tasha:
I have four numbers a 6, a 6 a 5 and a 3, i can add subtract divide or multiply these numbers in anyway but i have to use all of them and call only use them once i have to come up with a total of 24
Answered by Penny Nom.
Four fours 2008-06-25
From jen:
Use four 4's and some of the symbols: +,-,X, / and (), to give expressions for the whole numbers from 0 through9. Example : (4X4+4)/4=5
Answered by Janice Cotcher.
Four digit combinations 2008-06-23
From star:
Can you you give me a list of all 4 digit combination starting with the number 7, for example 7123,7213.
Answered by Penny Nom.
A 4 sided lot 2008-06-03
From Pat:
If a lot of property is: front 127.87, back 156.17, one side is 129.73, the other side is 125.00, then how much total acreage is this.
Answered by Harley Weston.
WHY 144 where does this figure come from 2008-04-19
From Sean:
Why do you use the number 144 to divide

EG. length of timber 2 inches x 8 inches x 14 foot = 1.5 cubic feet

Calculation is 2x8x14 =224 divide by 144 = 1.5 WHY 144 where does this figure come from

Answered by Leeanne Boehm.
Some 4 sided polygons 2008-04-11
From kathy:
I am a 4th grade student and need to complete this question:

I need to draw 2 polygons with 4 sides and 2 right angles. Please help. Thanks

Answered by Penny Nom.
The game of 24 2008-04-10
From sherwin:
ok is like this you must get 24 using 1,5,5,5 but you can only use +, - , / and *
Answered by Claude Tardif.
The game of 24 2008-04-01
From Frank:
Hi, my name is Frank. I have been really stumped on this 24-card. It has the 4 # of 21,3,5,10. If you have any suggestions, I would be grateful!
Answered by Claude Tardif.
A 4 digit passcode 2008-02-16
From Rob:
If there is a 4 digit passcode with only 6 punch in symbols, how many possibilities are there and what are they? symbols are: Y, X, RB, RT, LB, LT. Please get back to me, thanks for your time and help.
Answered by Stephen La Rocque.
I am a 4-digit number 2008-02-12
From Nickie:
I am a 4-digit number with no repeating digits. I am divisible by 5, my first two digits (left to right) make a number divisible by 3, and my first three digits make a number divisible by 4. Also, my digits have a sum of 19 and I have the digit 7 in the thousands place. Who am I?
Answered by Penny Nom.
The game of 24 2008-02-06
From Jameeka:
What is a solution for 10,11,9 and 2 (Using fractions) in the game 24 square.
Answered by Penny Nom.
A 24 hour clock 2008-01-31
From CARLA:
at a certain time i looked at a 24-hour digital clock and noticed some things about the time. (1 The number in the hours section plus the number in the minutes section makes 60.(2 One of the digits in the minutes section is the square root of the other digit in the minutes section.(3 The sum of the digits in the minutes section is the number in the hours section reversed. what is the time?
Answered by Penny Nom.
Choosing 10 numbers from 40 numbers 2008-01-18
From Antwan:
I have 40 numbers........number 1-40. I want to know how many times i can chose 10 of those numbers without picking the same exact sequence twice if its even possible?
Answered by Stephen La Rocque.
The game of 24 2008-01-17
From Raina:
I have four numbers 3 3 9 5 that need to equal 24 using addition subtraction multipliction and division and I'm so stuck.
Answered by Chris Langdon, Stephen La Rocque and Claude Tardif.
Combinations 2008-01-08
From david:
is there a simple formula to follow for the number of combinations a set of numbers could have ie.( lotto 649, 6 numbers, 1-49 range)
Answered by Penny Nom.
The game of 24 2007-11-19
From M:
Please help...how would you compute 2,2, 6, and 9 to equal 24?
Answered by Penny Nom.
The game of 24 2007-11-17
From Todd:
Hello. My son is very good at the Math 24 game and when he is stumped, I am usually able to figure it out. However, we are both stumped with this one. The numbers are 6, 6, 9 and 5. You can use addition, subtraction, division and multiplication. Please help us equal 24 with those 4 numbers.
Answered by Claude Tardif.
Some four digit combinations 2007-10-25
From Larisa:
Please tell me the answer or how to get the answer of every possible digit combination of 5173, for instance1735, 1753, 1573, 1537, 1357, 1375, etc.
Answered by Stephen La Rocque.
The game of 24 2007-09-27
From Amanda:
I'm really stumped on a 24 math game question from math class. The numbers are 7,11,17,and 20. Help??
Answered by Claude Tardif.
Four digit odd numbers 2007-09-26
From sonia:
how many 4 digit odd numbers can be made using the digits 2, 5, 7, and 8
Answered by Penny Nom.
The largest 4-digit odd number 2007-09-21
From Courtney:
what is the largest 4-digit odd number you can make with 1 - 9. You can not repeat digits within a number
Answered by Harley Weston.
Four digit combinations 2007-09-04
From Natalie:
Using The Numbers 7 4 5

How many different 4-digit combinations are possible, you can use any of the numbers twice.

Answered by Penny Nom.
The digital lock for a cell phone 2007-08-29
From Hollie:
i have a four digit lock code on my cell phone and cannot remember what it is. i know that it does not contain a 2 or a 4 and none of the numbers are repeated. the numbers range from 0 to nine and the only way to figure out what the code is, is to try randomly. I was wondering if you could give me a list of possible combinations using the information i gave you to make it easier to crack the code.
Answered by Penny Nom.
Four fours 2007-08-23
From Belinda:
My son came home with a math question that I can figure out. He needs to use only the number 4 and only four 4's, no less no more. The problems need the answers 11,13,14,and 18. He can use any mathematical sign except square root. He's been able to get all but these so far and I've worked them, but can't come up with the problems. Can anyone help?
Answered by Stephen la Rocque.
4 digit number combinations that start with the digit 2 2007-08-05
From tonnie:
my question is what are all the 4 digit number combinations that start with the number 2?
Answered by Harley Weston.
Four digit numbers 2007-07-30
From Spence:
My son has a problem that he has been unable to figure out. I was asked to try, but I am confused on how to get the last two parts. Any help would be great.
Thanks
Spence

How many four-digit numbers can be formed under each condition?

A) The leading digit cannot be zero: 9(10)(10)(10)=9000

B) The leading digit cannot be zero and no repetition of digits allowed: 9(9)(8)(7)=4536

C) The leading difit cannot be zero and the number must be less than 5000: ??

D) The leading digit cannot be zero and the number must be even: ??

Answered by Penny Nom.
24 Game: 7, 5, 3, 3 2007-06-11
From Natasha:
In the maths game called '24', how can you solve 7, 5, 3, 3? I like playing a maths game called '24'.
Answered by Stephen La Rocque.
Game of 24 2007-04-04
From teri:
How do you find the answer of 24 by using 12,24,7 and 2 only once.
Answered by Stephen La Rocque.
The game of 24 2007-03-22
From Britney:
I have a math problem with the game 24. I am not sure how to solve it. You can use +, -, multiplication, division, ( ), square root, and exponents. Please help me. The numbers are 1, 6, 7 and 8. You have to use all the numbers and you can only use them once.
Answered by Penny Nom.
The game of 24 2007-03-09
From colleen:
We are playing the 24 math game where four numbers need to combine using any sign (+, - X, \) to equal 24. The four numbers are 22, 21, 6, 20.
Answered by Penny Nom.
Game 24 2007-02-09
From Becka:
I need help figuring out this sequence for 24 2 2 3 5 Please help
Answered by Steve La Rocque, Penny Nom, Claude Tardif.
14 golfers--6 days 2007-02-02
From tom:
14 of us are going golfing-- over the course of 6 days is there a formula that would allow us to have the chance to play with as many different partners as possible--2 foursome, and two threesomes
Answered by Chris Fisher.
Four 9s 2006-12-15
From A student:
Can you make 67 with four 9's without using the ceilling method?
Answered by Stephen La Rocque.
The game of 24 2006-11-28
From John:
Math 24 with 9, 8, 4, 2?
Answered by Stephen La Rocque and Penny Nom.
How many digits are in the number 2^64? 2006-06-14
From Trang:
How many digits are in the number 264?
Answered by Stephen La Rocque.
More on the game of 24 2006-05-05
From Kathy's daughter:
My daughter's 5th grade class plays the 24 math game. She came home the other day with a real stumper! The numbers on the card are 5,5,2,and 6. The rules say you must use every number,you may only use a number once,you can only add, subtract, multiply and/or divide and the answer is 24. Can you help!!!! No one where I work has been able to figure this one.
Answered by Paul Betts and Penny Nom.
9, 8, 7 and 2 in the game of 24 2006-03-17
From Alana:
I just began student teaching in a 5th grade math class and found that the students play 24 in class, a game that I used to play in elementary school. The students choose a card which shows 4 numbers and then have to use any combination of addition, subtraction, multiplication, and division to reach 24. There was one card that we found that seems to have all of us stumped. The four numbers are 9, 8, 7 and 2. Can you figure out how to make 24 with those? Thanks so much for your help!
Answered by Claude Tardif.
More on the game of 24 2006-02-02
From Cathy:
10,16,9,4 this numbers have to equal up to 24. we can't figure it out.
Answered by Claude Tardif.
The game of 24 with 7, 5, 5 and 4 2005-12-18
From Nicole:
i was playing the 24 game the other day. you get 4 digits and you have to turn them into 24. You can use addition, subtraction, division, and multiplication. You have to use all the numbers but you can only use each number once. an example is 2 4 4 1 the answer is (2x4)(4-1)=24. I got stuck on one. The numbers were 7 5 5 4 .
Answered by Penny Nom.
The game of 24 2005-10-10
From Kim and Chris:
My 4th grade son came home with a math game called 24 game. In it each card has 4 numbers on it. Each number can only be used once, in any order, using multiplication, subtraction, division, or addition. We are stuck on one and wondered if you could help. The four numbers are: 9, 9, 9, 9. And they must equal 24. Any clues?
Answered by Claude Tardif.
The game of 24 2005-01-10
From Manny:
HI - my daughter and I are being driven crazy by the following "24" question 7,7,3,3. She's good at the game (well, better than I am) and her teacher gave her this one. Any insight would be appreciated!
Answered by Claude Tardif.
The game of 24 2004-09-16
From Angelica:
how can you make 24 out of 7,7,6,5?
Answered by Claude Tardif.
The game of 24 2004-09-14
From Alan:
I was playing that math 24 game and i cant get 21,14,2,2 to equal 24
Answered by Claude Tardif.
The 24 game 2004-09-09
From Erik:
Ive spent around 40 hours on this one problem. I need help. 3,3,7,7
Answered by Claide Tardif.
The game of 24 2004-06-04
From Samantha:
i have the game 24 (the one where you have to use multiplication, division, addition, and subtraction to get to the answer 24) I was playing when i came across the 4 numbers 20, 17, 7, 11 and i cant seem to get 24.
Answered by Claude Tardif.
37 with four 4'2 2004-01-03
From Myra:
Using four fours and only four fours to get an answer of 37.
Answered by Claude Tardif.
Four digit combinations 2003-12-31
From A student:
i need all 4 digit combinations using 0-9 please
Answered by Penny Nom.
The 4th difference 2003-11-17
From Jack:
If i had a sequence which was the same at the 4th difference, aka difference to the 4th, like:

1 5 14 30 56 96 (sequence)
4 9 16 26 40
5 7 10 14
2 3 4
1 1

then what would be the set formulars to find out a, b, c, d, and e
as i know the equation has to be an4+bn3+cn2+dn+e

Answered by Penny Nom.
The game of 24 2003-09-03
From A student:
We have a game where four numbers must equal 24 using addition, subtraction, multiplication and/or division.Ý I am stuck on the following four numbers - 12, 24, 9 and 17.
Answered by Penny Nom.
Two sequences that agree in the first 4 terms 2003-05-26
From A student:
Is it possible to have two formulas that define sequences that agree on the first four terms but not the rest?
Answered by Penny Nom.
Four digit palindromes 2003-05-05
From Heather:
How many palindromes were in between the numbers 1000 and 9999?
Answered by Penny Nom.
4 x abcd = dcba 2002-11-20
From A student:
Say you have a four digit number (e.g. abcd) and you multiply the number by 4. The answer you get will be the reverse order of the number you started with (dcba). What is the number? The four digits (a,b,c,d) cannot be the same number or cannot be repeated.
Answered by Penny Nom and Claude Tardif.
The 24 game 2002-11-16
From Michael:
Hello, my name is Michael and I am in elementary school .. We have a game we play in math class called 24 game. In it each card has 4 numbers on it. Each number can only be used once, in any order, using multiplication, subtraction, division, or addition. We are stuck on one and wondered if you could help. The four numbers are 10-9-16-4. And they must equal 24. Any clues?
Answered by Penny Nom.
The repetition of doing many straight forward problems 2002-10-16
From Dan:
I am the father of a very bright 9 year old girl. She is very interested in math and she grasps concepts very quickly. I am concerned that she may become bored with the repetition of doing many straight forward problems. Her current math teacher has her working in a challenging math book and she is doing 3+ digit multiplication. She misses 2 or 3 out of ten of these problems due to simple addition errors. Should she continue to practice these problems until she can get them all correct? Or, should she move on?
Answered by Kathy Nolan and Claude Tardif.
Use a 4 four times 2002-09-12
From Amanda:
The question is what is if you can only use a 4 four times and get the answer 12, 10, and 6
Answered by Claude tardif.
A schedule for 24 golfers 2002-05-25
From John:
I am working on a schedule for 24 golfers. 6 groups of 4. I have 8 golf days (twice per week for a month).

Ideally, I would like to schedule all 24 golfers in 6 different groups of 4 on each day. Here is the catch.....no golfer in any group can be grouped togther more than once. Every group of 4 each day will have 4 new golfers that have never played together before. Is this possible?


Answered by Chris Fisher.
All four eights in three consecutive hands 2002-04-01
From Blair:
What are the odds against the same person holding all four eights in three consecutive hands.
Answered by Brian Alspach.
Some 5 card hands 2002-03-28
From A student:
From a standard deck of cards how many 5 card hands are possible consisting of a. exactly 4 hearts

b. two cards of one kind and three of another(like a full house).

Answered by Penny Nom.
100 from four 9's 2002-03-27
From A student:
My teacher gave us a math problem to try and figure out and I am stumped. The problem was this.... by only using four nines, how can you get an answer of 100? You can add, subtract, multiply or divide...anything you need to do ,but you can only use four nines.
Answered by Leeanne Boehm.
A lottery question 2002-03-25
From Noel:
I want to take all numbers in a Lotto game from 1 to 45 and ditribute them between 9 boxes each containing 5 numbers. Each number is used only once.
  1. What is the probability that I derive the correct combination of 5 numbers in the draw?

  2. What is the probability if I take a systems game and now distribute 9 numbers into each of 5 boxes? Once again, the numbers are used only once.

  3. Can you explain what formulae are used and how the answer is derived? Is this a distribution or combination problem? Or is it a combination of both distribution and combination?

Answered by Andrei Volodin and Penny Nom.
Double square roots 2002-02-17
From Ali:
i have a question about how to do double square roots with variables and powers.

example : v/"" v/"" 81y8


Answered by Harley Weston.
Making 24 2002-01-17
From Renee:
My 4th grade daughter and I need to find a simple math sentence using 5, 5, 3, & 7 to equal 24. You can add, subtract, divide or multiple.
Answered by Penny Nom.
450 students 2001-12-19
From Jessie:
My teacher told me that the number of ways of lining up the 450 students in our school is larger than the number of atoms in the universe. Is this right?

This question came to Good Question, a regular feature on the CBC Morning Edition radio show in Saskatchewan.


Answered by Denis Hanson and Harley Weston.
4 digit combinations 2001-09-22
From Laura:
I need all of the 4 digit combinations using the numbers 0-9.
Answered by Harley Weston.
Five fourths 2001-04-08
From Linda:
Can you have 5/4 of something?
Answered by Penny Nom.
4160 2001-03-07
From Jessica:
The product of two consecutive page numbers in this book is 4160. What are the page numbers?
Answered by Penny Nom.
Lotto 6-49 2001-02-27
From A student:
I am a secondary student and I was wondering if there was a better way to find out how many combinations and what they are in the lotto 6/49 than writing them out on a piece of paper. Any help you can provide me with would be greatly appreciated.
Answered by Penny Mon.
Math game 24 2001-02-21
From Kristi:
We have a game we play in math class called 24 game. In it each card has 4 numbers on it. Each number can only be used once, in any order, using multiplication, subtraction, division, or addition. We are stuck on one and wondered if you could help. The four numbers are: 3, 3, 5, 7. And they must equal 24. Any clues?
Answered by Claude Tardif.
A four dimensional object 2001-02-14
From A student:
Can you give me some examples of a four dimensional object you can find around your house?
Answered by Harley Weston.
Lucky dip 2001-02-09
From Andrew:
I buy 8 lucky dip (random number) panels, each panel has 6 numbers chosen at random from 49. I never seem to cover more than 32 different numbers on average, over the total 48 numbers chosen, which seems low? How can I calculate the probability of 32 different numbers or 33 diferent numbers?
Answered by Claude Tardif.
Divisibility by 16 2000-12-12
From Shiling:
A number can be divided by 16 if and only if its 1st four digits can be divided by 16. How can you prove that?
Answered by Penny Nom.
1234567890 2000-09-14
From Bradley Kloetzly:
Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890?
Answered by Harley Weston.
6-49 2000-09-14
From Steve:
In our state lottery you must choose 6 numbers (1-49). How many different combinations are there? They can be in any order.
Answered by Harley Weston.
4-digit numbers using 7, 8, 9 and 0 2000-09-13
From Ryan:
Could you please help me with the following problem, How many different 4-digit numbers are there that use each of the digits 7,8,9,and 0? Please list them.
Answered by Penny Nom.
4 Color map Theorem 2000-06-02
From Rick Slen:
I am challenging my students to find a map that can not be coloured using only 4 colours. I know that it is not possible, but one boy drew a map with a "country" totally surrounding all the others so of course it touched all other colours. How do I explain that this type of map is not permissable?
Answered by Denis Hanson.
Is a sheet of paper 2-dimensional? 2000-03-06
From Jaclyn Evans:
One day, we were discussing 3-dimensional items. Is a sheet of paper considered a 3-dimensional shape? Or is it 2-dimensional as described by 8.5 by 11 size? Also, could you give me an example of a 4-dimensional item or scenario?
Answered by Harley Weston.
A 4-by-4 magic square 2000-02-06
From Maureen Fitzsimons:
I need to create a 4x4 grid using numbers .1, .2, .3, .4, ....1.1, 1.2, 1.3,1.4,1.5,1.6 the sum of the number diagonally, horizontally and across all equal 3.4
Answered by Penny Nom.
.400 in Baseball 1999-12-15
From Nieve Nielson:
I have several questions to ask about the probability of getting a .400 in baseball:
  1. What is the probability of a baseball player hitting a .400 in one game, considering that the hitter is up to bat four times?

  2. What is the probability of a baseball player hitting a .400 in a season, considering that there are 100 games in a season? With the first two questions in mind:

  3. Considering that baseball has been around for about 100 years, about how many people should hit .400 inthat time?

Answered by Chris Fisher.
2,5,8,1 yields 24 1999-09-12
From Terry Hill:
I was wondering how do I make the numbers 2,5,8,and 1 equal 24?
Answered by Penny Nom.
Measuring the fourth dimension 1999-06-07
From Suzanne Hall:
Hi! The other day, two of my students asked a very interesting question: Is the fourth dimension measured with hypercubes? Their reasoning went like this: Lines are 1D and are measured with line segments, which are part of a line. Planes are 2D and are measured with squares, which are part of a plane. Space is 3D and is measured with cubes, which are part of space. So, logically, hypercubes would be used to measure the fourth dimension.
Answered by Chris Fisher.
Factoring 1999-03-08
From L. Sivad:
Question:
m2+6m+9-n2

Answered by Penny Nom.
Grade 4 curriculum 1999-02-09
From John:
My daughter is in grade 4 and her math teacher has asked her to write out the number 1 to 10,000. She is currently at 4567 and is sick of it. When I complained that this was not a usefull exercise she said that the Ministry of Education curriculum requires this and gave a photocopy of the page. It states: "read and write whole number to 10,000 in standard, expanded, and written forms (eg., 9367=9000+300+60+7 = nine thousand three hundred sixty-seven). Has the teacher interpreted this the wrong way?

Thanks John
PS. Do you have a web address for Ontario Math and Science Teachers organization?
Answered by Jack LeSage.

3 to the power of 1994 1998-09-05
From Kim Tangney:
What are the last two digits of:
  1. 3 to the power of 1994

  2. 7 to the power of 1994

  3. 3 to the power of 1994 + 7 to the power of 1994

  4. 7 to the power of 1994 - 3 to the power of 1994

Answered by Penny Nom.
x^2 = ...444 1998-02-23
From James Bauer:
What is the first interger that when squared ends in three 4's? (ex. x^2 = ...444)

Prove that there are no intergers that when squared end in four 4's (ex. x^2 = ...4444)
Answered by Penny Nom.

-1 exposant 4 2004-12-19
From Denis:
ma question est : -1 exposant 4 = ? Quand nous avons une base négative sans parenthèse comme ma question
Answered by Diane Hanson.
 
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