There were 13 students running in a race. How many different arrangements of first,second, and third place are possible?

13 P 3  =  1716

 The way to do this question is:

For first place, we have 13 choices,

13 x__ x__

For second place, we have 12 choices,

13 x 12 x __

And for third place, we have 11 choices.,

13 x 12 x 11 = 1716 ways

This is also a permuation.

13! / (13-3)! = 1716

Hope it helps!!! :)

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