A probability problem by Arpan Sarangi

Probability Level 2

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. What is the value of mn\frac{m}{n}?

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