JEE-Advanced 2015 (4/30)

Let nn be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue.

Let mm be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that exactly four girls stand consecutively in the queue.

Find the value of mn\frac{m}{n}.

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