Ten runners are in a race. How many different ways can they finish in first, second, and third place?

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Since there are 10 runners in all: For the first position there  10 possibilities. For the second position there are  9 possibilities, after the 1st has been taken. For the third position there are  8 possibilities, after 1st and 2nd have already been taken. Total = 10 * 9 * 8 = 720 So there are 720 ways. I hope this helps.

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