Exams › IBPS PO › Quantitative Aptitude

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 included. In how many ways can it be done?

1. 564
2. 645
3. 735
4. 756

Correct answer: 756

Solution

At least 3 men means the committee can have 3 men 2 women, 4 men 1 woman, or 5 men 0 women. The number of ways is C(7,3)C(6,2) + C(7,4)C(6,1) + C(7,5)C(6,0) = 35×15 + 35×6 + 21×1 = 756.

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