MathDB
Putnam 2004 B2

Source:

December 11, 2004
PutnaminequalitiesprobabilityLaTeXfunctioncombinatoricslogarithms

Problem Statement

Let mm and nn be positive integers. Show that (m+n)!(m+n)m+n<m!mm⋅n!nn\frac{(m+n)!}{(m+n)^{m+n}} < \frac{m!}{m^m}\cdot\frac{n!}{n^n}
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