There are 5 boys and 5 girls. They sit in a row randomly. What is the chance that all the boys sit together?
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Step-by-step explanation:
The two groups of girls and boys can be arranged in 2! ways 5 girls can be arranged among themselves in 5! Ways. Similarly, 5 boys can be arranged among themselves in 5! ways. Hence, by the fundamental principle of counting, the total number of requisite seating arrangements
= 2!(5! X 5!)
=2!{5!}^{2}
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