Answer
792 ways
Work Step by Step
The order of the chosen does not matter.
Combinations, ${}_{n}C_{r}=\displaystyle \frac{n!}{(n-r)!r!}$
${}_{12}C_{5}=\displaystyle \frac{12!}{(12-5)!5!}$
$=\displaystyle \frac{12\times 11\times 10\times 9\times 8}{1\times 2\times 3\times 4\times 5}=$
$=\displaystyle \frac{1\times 11\times 1\times 9\times 8}{1\times 1\times 1\times 1\times 1}=$ 792 ways