SOLUTION: Question There are 8 men and 10 women members of a club. How many commit

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Question 625690: Question
There are 8 men and 10 women members of a club. How many committees of seven persons can be formed, having 4 women?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You have 4 women on the committee, which means you have 7-4 = 3 men

There are 10 C 4 ways to choose 4 women and 8 C 3 ways to choose 3 men

So there are (10 C 4)*(8 C 3) ways total.