Topic: combinatorics list of topics
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24 items are filed under this topic.

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	How many guests were present?		2017-09-17
		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		2017-09-17
		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		2015-06-14
		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		2013-07-09
		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		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.
	Possible soccer scores		2012-10-09
		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		2011-12-21
		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		2011-12-02
		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 ...		2011-11-18
		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		2011-10-21
		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.
	Four-digit numbers using 0,3,4,5,6,and 7		2010-11-12
		From Katy: Using only the digits 0,3,4,5,6,and 7, how many distinct four-digit 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		2010-02-26
		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		2009-03-31
		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		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.
	18 golfers and 5 rounds		2009-01-10
		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		2008-12-04
		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		2008-02-11
		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		2007-05-12
		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?		2007-05-10
		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		2007-05-09
		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		2007-05-04
		From Trish: What are all the six digit combinations between 1 & 36 Answered by Stephen La Rocque.
	Permutations		2007-03-11
		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!/(n-r)! 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		2007-02-09
		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		2002-05-15
		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 thank-you 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.

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