







How many guests were present? 
20170917 

From SM: How many guests were present at an Italian dinner if every 2 guests shared a bowl of salad, every 3 guests shared a bowl of pasta, and every four guests shared a bowl of meatballs, and there were 65 bowls used altogether? Answered by Penny Nom. 





Peanuts in 5 bags 
20170917 

From Maria: There are a total of 270 peanuts divided up into five different bags. The first two bags contain 174 peanuts between the two of them. The second and third bags contain 130 peanuts between the two of them. The third and fourth bags contain 86 peanuts between the two of them. The fourth and fifth bags contain 42 peanuts between the two of them. How many peanuts are in each bag? Answered by Penny Nom. 





4 digit strings using the digits 1, 2, 3 and 4 
20150614 

From Gary: What is the number of possible combinations using the following fact pattern?
A. Each combination must have 4 numbers.
B. The possible numbers to choose from are 1, 2, 3, 4
C. The numbers can be included in the combination more than once. For example, it can be 1111.
Is it possible to generate a schedule of the possibilities? Answered by Penny Nom. 





Scheduling a 12 person fishing 
20130709 

From Don: Greetings Math Central!
I searched the index, but could not find a similar quandary.
Here's my predicament:
I am seeking help in scheduling a 12 person fishing outing.
We have four boats.
I would like to schedule three fishermen to a boat.
We fish 2 1/2 days, split into morning and afternoon sessions.
Thursday afternoon, Friday morning, Friday afternoon, Saturday morning, and
Saturday afternoon
We switch boats after lunch, with each fisherman moving to a different boat,
with different partners.
I would like to have each fisherman fish with as many others in the group as
possible, with a minimum of partner duplication.
I would like to have each fisherman fish in all of the four different boats
over the course of the trip at least once.
Would you please suggest a boat / fishing partner schedule that fits my
parameters as closely as possible.
Thank you!
Don Answered by Victoria West. 





Some 4 digit numbers 
20121025 

From samira: How many 4digit numbers are there in which the first and last digits are the same? Answered by Penny Nom. 





Possible soccer scores 
20121009 

From Riaan: Good day, I would like to know all the possible scores for a set of 5 soccer matches with no more than 5 total goals being scored in any match.
Bearing in mind that there are three outcomes to every match. Win, Lose or Draw.
Could you please help me with this?
Kind regards
Riaan
South Africa Answered by Penny Nom. 





A combination lock 
20111221 

From Sheila: I have a combination lock with a total of 3 rows of single digits 1  9.
In order to open the lock, the numbers chosen for each row together
add to 12.I'm looking to generate a list of numbers that I can
sequentially try so that I can open the lock. Answered by Robert Dawson. 





The total number of roles that a user can be assigned 
20111202 

From Colin: Hi, I want to define an equation for calculating the total combination of roles that a user can be assign in a system.
Here is the background: There are two types of roles that a user can be assigned. These are object roles and data roles. There must be at least 1 object and 1 data role in the system. A user must be assigned at least 1 object role and at least 1 data role. A user can be assigned as many object roles and data roles as are created in the system. There is no upper limit to the number of roles that a user can be assigned except for the total number of object roles and data roles that exist. The number of object roles and data roles in the system are independent.
Can someone please assist? Thanks. Answered by Penny Nom. 





In how many ways can 12 members of volleyball team line up ... 
20111118 

From Aatir: In how many ways can 12 members of volleyball team line up if the captain and assistant captain have to remain together. Answered by Penny Nom and Stephen La Rocque. 





The number of People who Know Each Other 
20111021 

From Ted: I'm trying to prove that at a party
where there are at least two people,
there are two people who know the
same number of other people there. Answered by Robert Dawson and Penny Nom. 





Fourdigit numbers using 0,3,4,5,6,and 7 
20101112 

From Katy: Using only the digits 0,3,4,5,6,and 7, how many distinct fourdigit numbers exist that are greater than 4002 and less than 6732? Answered by Stephen La Rocque. 





Four dots are randomly placed on an 8x8 grid 
20100226 

From bobbym: Four dots are randomly placed on an 8x8 grid, compute the probability
that no row or column contains more than one dot. Answered by Claude Tardif. 





A 25 team league 
20090331 

From brad: 25 teams are in a league in which each team plays everybody once how many games must be scheduled ? Answered by Penny Nom. 





Choosing a 4 digit number at random 
20090324 

From shabkhal: If a fourdigit number is chosen at random, what is the probability that the product of the digits is 12. Answered by Harley Weston. 





18 golfers and 5 rounds 
20090110 

From steve: We have 18 golfers 5 rounds .
Would like 3 foursomes and 2threesomes each day
Different groups each day. Answered by Victoria West. 





6 golfers play threeball 
20081204 

From Ian: I have a group of 6 golfers wanting to play 3 rounds as 2x threeballs, but with different players each day. Is this possible? Can you provide some threeball combinations for this please? Answered by Victoria West. 





Small group activities 
20080211 

From Rain: I need to have a meet and greet with 40 people and need to do small group activities so that each person meets every other person but only once.
I'm not into math, need someone to tell me how many groups I would need to have? Answered by Victoria West. 





Counting squares 
20070512 

From Bridget: Explain how many squares there are on a board measuring 4 by 4 units, Answered by Stephen La Rocque and Penny Nom. 





How many ways can I choose 4 numbers from 10? 
20070510 

From Mitch: Can you give me a list of all possible four digit combinations using 0 to 9 no repeat numbers and the numbers do not have to be entered in a special order. If you could also show me how to calulate this it would be great Answered by Stephen La Rocque. 





Probability of getting an A 
20070509 

From Christine: In a class of 15 people, exactly 3 got an A. If 2
people are randomly chosen from this class, what is the probability that
at least one of these 2 got an A? Answered by Paul Betts. 





Lottery numbers 
20070504 

From Trish: What are all the six digit combinations between 1 & 36 Answered by Stephen La Rocque. 





Permutations 
20070311 

From Meghan: Hello, I'm working on the beginning of the combinatorics unit in Math 12 in BC. We just looked at using the nPr or n!/(nr)! formula.
My questions for homework that I didn't quite understand how to do were:
Solve each equation for n. 1) nP2 = 90 2) 6Pn = 720
I managed to do these in my head, but I'm not sure how to solve these algebraically.
Thanks for all your help! Meghan Answered by Penny Nom. 





Six digit numbers 
20070209 

From marisa: how many six digit numbers can you write using the digits 0 and 1 as many times as possible? Answered by Stephen La Rocque. 





Thank you gifts 
20020515 

From Navi: Children usually attend birthday parties where a thank you gift is given to the children who attent the party. a family likes to hand out books at thankyou gifts. (a) One child invited to the party is given 2 books as gift. if there was 15 different books to choose from, how many diffrent gifts were possible? Answeer: I did this way 15C2=105
(b) if the 15 books consisted of 8 nonfiction and 7 fiction, how many diffrent gifts were possible if at least 1 of 2 books were fiction? Answered by Penny Nom. 

