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

 Feb 3, 2021
 #1
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13 P 3  =  1716

 Feb 3, 2021
 #2
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 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!!! :)

 

🙃🙃👌

 Feb 3, 2021

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