Maths Permutations & Combination Definition of Combinations, Condition Combinations, Division into Groups, Derangements Single Correct MCQ
Published on: August 14, 2026

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

A
66
B
156
C
60
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

The committee will consist of 4 gentlemen and 1 lady or 3 gentlemen and 2 ladies.

∴ ∴ The number of committees = 4 C 4 × × 6 C 1 + 4 C 3 × × 6 C 2 = 66

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