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JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

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

Answer: (A)

Solution

Majority in a committee of 5 means at least 3 gentlemen; only 4 are available. - 4 gentlemen + 1 lady:

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Question ID VK-108198