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A committee is to be formed comprising 7 members such that...

This question belongs to Arithmetic Ability Permutation And Combination
Permutation and Combination
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A committee is to be formed comprising 7 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?

Answer & Solution
Correct Answer: Option A
Three possibilities: (1W+6M), (2W+5M), (3W+4M)
= (6C1 × 9C6) + (6C2 × 9C5) + (6C3 × 9C4)
= 4914
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1 Comment
Lavisha Modi
Lavisha Modi 6 years ago
Why we can't form 4women and 3 men
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