Question 361887: A committee of ten is to be chosen from nine men and six women. In how many ways can it be formed if at least four women are to be on the committee.
Answer by sudhanshu_kmr(1152)   (Show Source):
You can put this solution on YOUR website! Men : 9 Women : 6
possible ways are:
( men,women) : ( 4,6), (5,5) and (6,4)
no. of ways = [ 9C4 * 6C6] + [9C5 * 6C5 ] + [9C6 * 6C4]
= [ 126 * 1] + [ 126 * 6 ]+ [84 * 15 ]
= 126 + 756 + 1260
= 2142
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