SOLUTION: In how many ways can first, second, and third prizes be awarded in a contest with 700 contestants? Assume there are no ties.
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Question 1152904: In how many ways can first, second, and third prizes be awarded in a contest with 700 contestants? Assume there are no ties. Answer by ikleyn(52786) (Show Source):
ANSWER. In 700*699*698 ways.
Explanation. By default, any of 700 can get the first prize;
Any of 699 remaining can get the second prize.
And everyone of 698 remaining can get the third prize.
