Answer
$\dfrac{15!}{5!}=10,897,286,400$
Work Step by Step
Using the factorial of a number which is given by $n!=n(n-1)(n-2)...(3)(2)(1),$ the given expression, $
\dfrac{15!}{5!}
,$ is equivalent to
\begin{align*}\require{cancel}
&
\dfrac{15(14)(13)(12)(11)(10)(9)(8)(7)(6)(5!)}{5!}
\\\\&=
\dfrac{15(14)(13)(12)(11)(10)(9)(8)(7)(6)(\cancel{5!})}{\cancel{5!}}
\\\\&=
15(14)(13)(12)(11)(10)(9)(8)(7)(6)
\\&=
10,897,286,400
.\end{align*}
Hence, $
\dfrac{15!}{5!}=10,897,286,400
.$
