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Write the Number of Ways in Which 6 Men and 5 Women Can Dine at a Round Table If No Two Women Sit Together ? - Mathematics

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Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?

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Solution

Each of the six men can be arranged amongst themselves in 6! ways.
The five women can be arranged amongst themselves in the six places in 5! ways.
∴ By fundamental principle of counting, total number of ways = 6! x 5!

Concept: Permutations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 9 | Page 45

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