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there are 4 boys and 5 girls they sit in a row randomly what is the chance that all the girls do not sit together

there are 4 boys and 5 girls they sit in a row randomly what is the chance that all the girls do not sit together

Grade:10

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
8 years ago
Dear Student,

Since there are 5 girls and 4 boys, therefore definately the boys will always be in between the girls. Therfore, there are 5! ways to arrange the girls and 4! ways for the boys. And in total, there are 9! arrangement possible.
Therfore, the required probability will be (5!*4!)/9!

Thanks,

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