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Question

A committee is to be formed comprising of 6 members such that there is a simple majority of men and at least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed?



A

4721

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B

4921

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C

4631

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D

2646

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E

None of these

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Solution

The correct option is A

2646


The number of ways in which a committee can be formed having at least  one woman is = 9C5 × 6C19C4 × 6C2 = 2646


Quantitative Aptitude

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