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Write the Number of Ways in Which 7 Men and 7 Women Can Sit on a Round Table Such that No Two Women Sit Together ? - Mathematics

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प्रश्न

Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?

उत्तर


Each of the seven men can be arranged amongst themselves in 7! ways.
The women can be arranged amongst themselves in seven places, in 6! ways (i.e. nthings can be arranged in (n-1)! ways around a round table).
By fundamental principle of counting, total number of ways = 7! x 6!

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अध्याय 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.6 | Q 6 | पृष्ठ ४५

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