# A discrete mathematics problem by Arpan Sarangi

Let $$n$$ 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 $$m$$ 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 $$\frac{m}{n}$$?

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