SOLUTION: In a lottery, there are 15 finalists eligible for the Final Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder may win more than one priz
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Question 1150936: In a lottery, there are 15 finalists eligible for the Final Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder may win more than one prize? Answer by ikleyn(52781) (Show Source):
Any of 15 finalists can win the first prize.
Any of remaining 14 finalists can win the second prize.
And, finally, any of 13 remaining finalists can win the third prize.
Thus the total number of different ways is the product 15*14*13 = 2730. ANSWER