JEE MATHEMATICS MCQ: PERMUTATIONS

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From 4 gentlemen and 6 ladies, a committee of five is to be selected. The number of ways, in which the committee can be formed so that gentlemen are in majority, is

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Correct option: A

Option A (66) is correct because the committee must have 3 or 4 gentlemen, and the number of ways to form the committee is

{}^4C_3 \times {}^6C_2 + {}^4C_4 \times {}^6C_1 = 66

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