Form a committee!
Probability
Level
2
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
None Of These
121
651
756
546
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1 solution
The committee can be composed of 5 men or 4 men and 1 women or 3 men and 2 women. The number of ways this can be done is 7 C 5 + ( 7 C 4 ) ( 6 C 1 ) + ( 7 C 3 ) ( 6 C 2 ) = 7 5 6 .