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 on the committee. In how many ways can it be done?

564
735
756
657

Correct Answer: 756

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

Required number of ways= $7 C 3 * 6 C 2 + 7 C 4 * 6 C 1 + 7 C 5$ = 756.

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