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Question

Mathematics Question on permutations and combinations

The number of ways in which 55 boys and 55 girls can be seated for a photograph so that no two girls sit next to each other is

A

6! 5!6!\,5!

B

(5!)2{{(5!)}^{2}}

C

10!(5!)\frac{10!}{(5!)}

D

10!(5!)2\frac{10!}{{{(5!)}^{2}}}

Answer

6! 5!6!\,5!

Explanation

Solution

Required number of ways =5!×6!=5!\times 6!