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Out of 7 boys and 4 girls, how many queues of 3 boys and 2 girls can be formed ?

The number of queues is 25,200. Choose the people in \(\binom{7}{3}\binom{4}{2}\) \(=35\times6\) \(=210\) ways, then order the five selected people in \(5!=120\) ways,…

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Out of 7 boys and 4 girls, how many queues of 3 boys and 2 girls can be formed ?

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The number of queues is 25,200. Choose the people in (73)(42)\binom{7}{3}\binom{4}{2} =35×6=35\times6 =210=210 ways, then order the five selected people in 5!=1205!=120 ways, giving 210×120=25,200210\times120=25,200.

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  • Karnataka SET (KSET)

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