# Fact Trail

Number Theory Level 3

$\large 1. \ \dfrac{(m+n)!}{(m+n)^{m+n}} \ \ \text{or} \ \ 2. \ \dfrac{m!}{m^m} \times \dfrac{n!}{n^n}$

Let $$m$$ and $$n$$ be positive integers, then which of the above numbers is greater?

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