SOLUTION: How many different committees can be formed from 9 women and 8 men if the committee consists of 6 women and 4 men?

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Question 1201896: How many different committees can be formed from 9 women and 8 men if the committee consists of 6 women and 4 men?
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
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Select 6 women from 9 women in  C%5B9%5D%5E6 = %289%2A8%2A7%29%2F%281%2A2%2A3%29 = 84 different ways.


Select 4   men from 8   men in  C%5B8%5D%5E4 = %288%2A7%2A6%2A5%29%2F%281%2A2%2A3%2A4%29 = 70 different ways. 


And multiply these two numbers to get the answer  84*70 = 5880.

Solved.