A discrete mathematics problem by Rajdeep Bharati

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.

Find the value of \( \dfrac mn\).

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