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1 . Let $A$ be a set of size 5 and let $B$ be a set of size 9. How many one-to-one functions $f: A \rightarrow B$ are there?

(a)

$\frac{8!}{5!}$

(b)

$\frac{9!}{3!}$

(c)

$\frac{4!}{9!}$

(d)

$\frac{9!}{4!}$