[franknagaijr]

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I like it, here's a suggested enhancement for non Excel users, or ppl who like pencil & paper

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Q1 - What is this notation I keep seeing that looks like this:
c(4,2)

A1 - This is the number of combinations in which four cards could go into two spaces. For example, if you are dealt two of the four aces, you could have (Ah Ac), (Ah Ad), (Ah As), (Ac Ad), (Ac As), (Ad As) for six possibile combinations.


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The formula for combinations of n cards in r spaces is :

c(n,r) = n! / ((n-r)! x r!)

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Q3 - How can I figure out C(45,4)

A3 - If you have microsoft excel, type in '=Combin(45,4)' and you will get the answer.


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From formula given in A1

c(45,4) = 45! / (45-4)! * 4! = 45! / 41! * 4! = 45*44*43*42 / 24

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I cannot seem to edit my first post. I like your additions, and would suggest dumbing them down as follows.

1) The bang (!) symbol works as follows:
4! = 4 * 3 * 2 *1
5! = 5 * 4 *3 * 2 * 1
2) Your addition to A3 could use a verbal explanation of what you are up to. I understand it, but I would not have a year ago at this time. (It nicely drives home the point of backing out any permutations, also)