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Tell whether each situation is a permutation or combination.

There are 12 paintings in a show. How many ways can the paintings take first, second, and third place?

$\mathrm{P} ; 1320$ ways

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Missouri State University

Oregon State University

Numerade Educator

Idaho State University

Since we're looking at the placement of the winning paintings in this show, this is gonna create a permutation because the border is important, since there are 12 paintings and we want to do 1st 2nd 3rd that means we're choosing three of them. So 12 times, 11 times 10 is gonna be 1320 ways that we could have a different 1st 2nd and third place finish.