SOLUTION: In how many ways can first, second, and third prizes be awarded in a contest with 405 contestants? Assume there are no ties.
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Question 1156561: In how many ways can first, second, and third prizes be awarded in a contest with 405 contestants? Assume there are no ties. Answer by ikleyn(52786) (Show Source):
In 405*404*403 ways. ANSWER
The first prize may go to any of the 405 contestants.
The second prize may go to any one of remaining 404 contestants.
And the third prize may go to any one of remaining 403 contestants.
Which gives the answer.
