Let \( \mathrm{X} \) be a set with exactly 5 elements and \( \mathr...
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Let \( \mathrm{X} \) be a set with exactly 5 elements and \( \mathrm{Y} \) be a set with exactly 7 elements. If \( \alpha \) is the number of one-one functions from \( \mathrm{X} \) to \( \mathrm{Y} \) and \( \beta \) is the number of onto functions from \( \mathrm{Y} \) to \( \mathrm{X} \), then the value
\( \mathrm{P} \) of \( \frac{1}{5 !}(\beta-\alpha) \) is
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