Answer
$504$
Work Step by Step
Expand, cancel, and multiply
$\frac{9!}{5!\cdot3!} = \frac{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{5\cdot4\cdot3\cdot2\cdot1\cdot3\cdot2\cdot1} = \frac{9\cdot8\cdot7\cdot6}{3\cdot2\cdot1} = \frac{9\cdot8\cdot7\cdot6}{6} = 9\cdot8\cdot7 = 504$