If 3 identical prizes are available for a contest with 50 entrants. In how many ways can the prizes be distributed?

Question

anonymous · Answer

Can an entrant win more than 1 prize?

anonymous · Answer

no

kropot72 · Answer

50C3

anonymous · Answer

I need the actual number not the formula

kropot72 · Answer

$$50C3=\frac{50!}{3!(50-3)!}=you\ can\ calculate$$

anonymous · Answer

50 choices for first prize, 49 for second, 48 for third so by counting principle it would be $50\times 49\times 48$ but since all the prizes are identical you have to divide by the number of ways you rearrange the 3 prizes, i.e. 
$$\frac{50\times 49\times 48}{3\times 2}$$ cancel first, multiply last

anonymous · Answer

Thanks guys you have been a real big help ;)