#### Answer

19600

#### Work Step by Step

The number of possible combinations if r items are taken from n items is
nCr = $\frac{n!}{r!(n-r)!}$
The number of ways that prizes can be awarded is:
50C3= $\frac{50!}{3!(50-3)!}$
= $\frac{50*49*48*47!}{3!47!}$
= $\frac{50*49*48}{3*2*1}$
= 19600 ways