SE-SKOLORNAS 1970 Problem 6

Show that $\frac{(n - m)!}{m!} \le \left(\frac{n}{2} + \frac{1}{2}\right)^{n-2m}$ for positive integers $m, n$ with $2m \le n$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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