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In how many ways can 10 boys and 5 girls sit around a circular table so that no two girls sit together?

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In how many ways can 10 boys and 5 girls sit around a circular table so that no two girls sit together?

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10 boys can be seated in a circle in 9! ways. There are 10 spaces in between the boys, which can be occupied by 5 girls in 10P5 ways. Hence, the total numbers of ways is 9! 10P5.

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