question archive In a race in which eleven automobiles are entered and there are no? ties, in how many ways can the first three finishers come? in?

In a race in which eleven automobiles are entered and there are no? ties, in how many ways can the first three finishers come? in?

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In a race in which eleven automobiles are entered and there are no? ties, in how many ways can the first three finishers come? in?

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There are 990 ways to enter from the three finalists.

 

Taking into account that, of the 11 competitors, the first 3 entries correspond to the 3 finalists; So, we have 11 competitors to select the first entry; leaving 10 competitors for the second inning and finally, 9 competitors for the third inning.

 

So in total there are 11x10x9 = 990 possibilities.

 

This is a non-repeating variation of 11 tamandos possibilities from 3 to 3; that is to say:

 

?V11,3?=11.10.9=990?