Answer
$10,897,286,400$
Work Step by Step
We start with the given expression: $\frac{15!}{(15-10)!}$
First, we simplify inside of the parentheses in the denominator: $\frac{15!}{5!}$
To evaluate a factorial expression, we multiply the number by each of the preceding integers until we get to $1$. So, $\frac{15!}{5!}=\frac{15\times14\times13\times12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{5\times4\times3\times2\times1}=15\times14\times13\times12\times11\times10\times9\times8\times7\times6=10,897,286,400$
