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	Combinations of cities		2019-12-03
		Oliver pose la question : Hi! I'm looking to find out how many combinations (non repeating) there are for 6 cities. If we name the cities A to F, possible combinations would include; A. A, B. B. A, B, C. A, C. B, C. C. and so on. Thank you! Penny Nom lui répond.
	nC0 + nC1 + nC2 + .... + nCn = 2^n		2018-02-19
		bristal pose la question : (QQ) Prove, nC0 + nC1 + nC2 + .... + nCn = 2^n. Penny Nom lui répond.
	Subsets		2016-06-26
		Kats pose la question : How Many sub sets are in set k={6,7,3} Penny Nom lui répond.
	The number of possible musical notes using an n-key instrument		2015-05-04
		Farihin pose la question : Lets say that i have keys, and each key is for notes of a musical instrument, So i wanted to find out the number of notes i can get for a certain number keys, of course in the form of an equation. Notes can use as many keys, it can use 1, or 2, or 3, or even 100. Notes in real life is not as such, but ignore reality. I tried doing this but i can't seem to find a formula for it. For example, i have 4 keys, say A, B, C, and D. so, for notes that uses one key are 4, which is A, B, C, and D themselves. for notes that uses two keys are 6, AB, AC, AD, BC, BD and CD. for notes that uses three keys are 4, ABC, ABD, ACD and BCD. lastly for notes that uses all four keys is 1, ABCD. So, the total will be 4+6+4+1=15# The nth term for the first equation is n, the second is [(n^2)-n]/2 the third and the fourth, i don't know but the final answer should be like, n + [(n^2)-n]/2 + [3rd] + [4th] Sorry for the long question though... Penny Nom lui répond.
	A question in set theory		2015-02-25
		Jared pose la question : If a set A={1,2,3} and set B={ {}, 1} Can B be a subset of A? Since every Set contains an {} ? Robert Dawson and Claude Tardif lui répond.
	Properties of real numbers applied to subsets		2012-02-01
		Mark pose la question : Hello - The questions that I have for you is do the properties of real numbers (such as the associative, commutative, identity, inverse, and distributive law) apply to ALL the subsets of real numbers? In other words, do all those properties work for the Natural Numbers? The Whole Numbers? And so on and so forth. I understand that they are all real numbers, but for instance: the identity is whenever you add zero to a number, you get that number back. But does that work with, say, with only the odd numbers? Zero isn't odd so can that property actually apply to JUST the odd numbers? Any consideration would be greatly appreciated! Robert Dawson lui répond.
	Subsets		2009-06-16
		Tracy pose la question : Suppose C is the subset of D and D is the subset of C. If n(c)=5, find n(D) What other relationship exists between sets C and D? Penny Nom lui répond.
	Subsets of a set		2007-10-30
		Snehal pose la question : 1. Let an denote the number of subsets of f{1,2, 3.... n}including the empty set and the set itself.) a) Show an = 2an-1 b) Guess a formula for the value of an and use induction to prove you are right Stephen La Rocque lui répond.
	Equality of sets		2007-07-23
		Mac pose la question : Hi, I learnt set theory recently. My teacher and few of the weblink actually give different definition for basic set. Can you please solve this ? My teacher says, {1,2,3} and {1,1,2,3} is also set. But in this link http://library.thinkquest.org/C0126820/setsubset.html it says, "A set has no duplicate elements. An element is either a member of a set or not. It cannot be in the set twice." and "{1, 2, 3} is the same as the set {1, 3, 2, 3, 1}" My question is, 1. Whether duplicates allowed in the set or not ? 2. Even if the duplicates are allowed, {1,2,3} and {1,1,2,2,3,3} are same or not ? Penny Nom and Harley Weston lui répond.
	The empty set is a subset of every set		2006-11-14
		Narayana pose la question : The empty set is a subset of every set Stephen La Rocque and Penny Nom lui répond.
	One-quarter of all 3-subsets of the integers 1,2,3....,m contain the integer 5		2006-10-09
		Hina pose la question : If one-quarter of all 3-subsets of the integers 1,2,3....,m contain the integer 5, determine the value of m. Steve La Rocque and Claude Tardif lui répond.
	B={A,{A}}		2004-09-20
		Muhammad pose la question : Let A be a set and let B = {A,{A}}. (a) Explain the elements of set B (with some example) (b) Prove that A is not a subset of B. Penny lui répond.
	Combinations of 1,2,3,...,10		2002-11-27
		Gord pose la question : If I had the numbers from 1-10 how many different combinations would i have.....would it be 100....since that is 10 squared. Penny Nom lui répond.
	Sets and elements		2002-08-22
		Dianne pose la question : I want to know why its okay to say that, for example, 6 is an element of the set of integers, but you get counted off for saying that the set of 6 is an element of the set of integers. How come? Judi McDonald lui répond.
	Subsets of a countably infinite set		2001-11-14
		Tania pose la question : How could I show (and explain to my son) that any countably infinite set has uncontably many infinite subsets of which any two have only a finite number of elements in common? Claude Tardif lui répond.
	Subsets of the natural numbers		2001-01-30
		Christina pose la question : How do I explain why the set of natural numbers (N) cannot be equivalent to one of its finite subsets? Penny Nom lui répond.

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