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Part of 1996 APMO

Problems(1)

Inequality with !

Source: APMO 1996

3/12/2006
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
inequalitiesinequalities unsolved