#### Answer

$30,240$

#### Work Step by Step

RECALL:
$P(n, r) = \dfrac{n!}{(n-r)!}$
Use the formula above to obtain:
$P(10, 5) = \dfrac{10!}{(10-5)!}
\\P(10, 5) = \dfrac{10!}{5!}
\\P(10, 5) = \dfrac{10(9)(8)(6)(5!)}{5!}$
Cancel the common factor $5!$ to obtain:
$P(10, 5) = 10(9)(8)(7)(6)
\\P(10, 5) = 30,420$