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1998 AMC 12 Question 30

AMC12 · 1998 AMC 12

Question 30

For each positive integer $n,$ let $$
a_n=\frac{(n+9)!}{(n-1)!}.
$$ Let $k$ denote the smallest positive integer for which the rightmost nonzero digit of $a_k$ is odd. The rightmost nonzero digit of $a_k$ is
  1. $1$
  2. $3$
  3. $5$
  4. $7$
  5. $9$