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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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प्रश्न

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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उत्तर

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!

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अध्याय 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.6 | Q 9 | पृष्ठ ४५

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