# Welcome 2016! Part 32

For each positive integer $$n$$, let

$\large a_{n}=\dfrac{(n+9)!}{(n-1)!}$

Let $$k$$ denote the smallest positive integer for which the rightmost nonzero digit of $$a_{k}$$ is odd. What is the rightmost nonzero digit of $$a_{k}$$?

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