Maths Permutations & Combination Definition of Permutation, Number of Permutations With or Without Repetition, Conditional Permutations Single Correct MCQ
Published on: August 14, 2026

m men and n women are to be seated in a row, so that no two women sit together. If , then the number of ways in which they can be seated is

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The correct answer is:
A

First arrange m men, in a row in m ! ways. Since n < m and no two women can sit together, in any one of the m ! arrangement , there are ( m + 1) places in which n women can be arranged in ways.

By the fundamental theorem, the required number of arrangement = m ! .`

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