Answer
$455$
Work Step by Step
$_{n}C_{r}$=
$_{15}C_{3}$=
$\frac{15!}{3!\times(15-3)!}$= $\frac{15\times14\times13\times12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{3\times2\times1\times(12\times11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}$= $455$