SOLUTION: how many different ways can three $500.00 prizes be awarded in a contest with 20 people, if no one can win two prizes

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Question 733681: how many different ways can three $500.00 prizes be awarded in a contest with 20 people, if no one can win two prizes
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
3DIVIDED BY 20=6WAYS
"OR"
3/20

Answer by ikleyn(53411) About Me  (Show Source):
You can put this solution on YOUR website!
.
how many different ways can three $500.00 prizes be awarded in a contest
with 20 people, if no one can win two prizes
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In   C(20,3) = %2820%2A19%2A18%29%2F%281%2A2%2A3%29 = 1140   different ways.


Since the three prizes are of the same value,  the order of winners does not matter.

Therefore,  we consider  COMBINATIONS  and calculate the number of combinations.

Solved.


The answer in the post by @lynnlo is incorrect.