A department store is hiring for the positions of manager, associate manager, and assistant manager. If 15 people have applied for all the positions and are equally qualified for each position, in how many ways can the positions be filled?

Because the three positions have different titles, assigning the same three people to different positions gives a different arrangement. There are 15 choices for manager, then 14 remaining choices for associate manager, and 13 for assistant manager. Thus, 15 × 14 × 13 = 2,730 ways, which is choice D.

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