Posted by Jake on Thursday, May 24, 2012 at 12:18am.
12 men and 8 women.
Define:
(n,r)=n choose r = n!/((n-r)!r!)
Example: (5,3)=5!/(2!3!)=5*4/2!=10
A. exactly 3 men and 4 women
Choose the 3 men in (12,3) ways and the 4 women in (12,4) ways. The number of groups which has exactly 3 men is therefore (12,3)*(12,4)=220*495 ways.
B. 3 men + 4 women or 3 women + 4 men
Proceed as in A for 3 women + 4 men and add the result to that of A.
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