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In how many ways can 5 boys and 5 girls sit in a circle so that no two boys sit together?

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a
5! x 5!
b
4! x 5!
c
5!×5!2
d
None of these

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detailed solution

Correct option is B

First we fix the alternate position of girls and they arrange in 4! ways and in the five places  five boys can be arranged in  5P5 ways.∴ Total number of ways =4!×5P5=4!×5!


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Three boys and three girls are to be seated around a circular table. Among them the boy X does not want  any girl as a neighbour and girl Y does not want any boy as a neighbour. The number of possible arrangement is:


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