MathDB
Inequality with !

Source: APMO 1996

March 12, 2006
inequalitiesinequalities unsolved

Problem Statement

Let mm and nn be positive integers such that n≤mn \leq m. Prove that 2nn!≤(m+n)!(m−n)!≤(m2+m)n 2^n n! \leq \frac{(m+n)!}{(m-n)!} \leq (m^2 + m)^n
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