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?
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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?
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?