Three out of nine students in the computer club are getting prizes for first, second, and third place in a competition.How many ways can first, second, and third place be assigned?

Because first, second, and third place are different awards, order matters. There are 9 choices for first place, then 8 remaining choices for second, and 7 for third: 9 × 8 × 7 = 504. So there are 504 ways to assign the places.

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