In a singing competition with 15 contestants, in how many ways can the organizer select the first, second, and third place winners?
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Any of the 15 contestants can take the 1st position. Any of the remaining 14 contestants (after the first position is selected) can take the 2nd position. And any of the remaining 13 contestants can take the 3rd position.
Therefore, the number of ways, the first, second, and third positions can be selected is given by
ways.