Answer
$806,400$
Work Step by Step
RECALL:
(1) For any natural number $n$,
$n! = n(n-1)(n-2)(n-3)$
(2) $0!=1$
Use the definition in (1) above to obtain:
$\require{cancel}
\dfrac{5!8!}{3!}
\\=\dfrac{(5\cdot 4 \cdot 3\cdot2\cdot1)(8(7)(6)(5)(4)(3)(2)(1))}{(3)(2)(1)}
\\=\dfrac{(5\cdot 4 \cancel{\cdot 3\cdot2\cdot1})(8(7)(6)(5)(4)(3)(2)(1))}{\cancel{(3)(2)(1)}}
\\=\dfrac{5 \cdot (40320)}{1}
\\= \dfrac{806,400}{1}
\\=806,400$
