Question 1141026: A neighbor watch committee has 10 women and 8 men. A committee of six people is to be chosen. How many committees are possible if the number of men and women on the committee doesn't matter?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A neighbor watch committee has 10 women and 8 men. A committee of six people is to be chosen. How many committees are possible if the number of men and women on the committee doesn't matter?
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The 1st choice is 1 of 18
then 1/17, 1/16, etc.
---> 18*17*16*15*14*13 = 13366080
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But, choosing A, B, C, D, E & F is the same as A, F, C, B, D & E
--> 6*5*4*3*2*1 = 720 ways to choose a group.
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13366080/720 = 18564
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