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A committee is to consist of two members. If there are seven men and five women availalbe to serve on the committee, how many different committees can be formed?

 Oct 22, 2014

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 #1
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There are a total of 12 persons. You will pick 2 of them; since it is a committee, order is not important. This is a combination of 12 persons, taken 2 at a time:  12nCr2 = 66.

By hand:  12nCr2  =  12! / [2! ·10!]

 Oct 22, 2014
 #1
avatar+23254 
+5
Best Answer

There are a total of 12 persons. You will pick 2 of them; since it is a committee, order is not important. This is a combination of 12 persons, taken 2 at a time:  12nCr2 = 66.

By hand:  12nCr2  =  12! / [2! ·10!]

geno3141 Oct 22, 2014

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