Home Maths Permutations & Combination Mix men and n women are to be seated in a row s…
Maths Permutations & Combination Mix Single Correct MCQ
Published on: August 14, 2026

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

A
B
C
D
None of these

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The correct answer is:
A

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

By the fundamental theorem, the required number of arrangements of m men and n women

= .

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