Answer
$210$
Work Step by Step
Expand, cancel, and multiply
$\frac{10!}{4!\cdot6!} = \frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{4\cdot3\cdot2\cdot1\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1} = \frac{10\cdot9\cdot8\cdot7}{4\cdot3\cdot2\cdot1} = 10\cdot3\cdot7 = 210$
