SOLUTION: Suppose 22 cars start at a car race. In how many ways can the top 3 cars finish the​ race? The number of different top three finishes possible for this race of 22 cars is __

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Question 1146533: Suppose 22 cars start at a car race. In how many ways can the top 3 cars finish the​ race?
The number of different top three finishes possible for this race of 22 cars is __

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The number of different top three finishes possible for this race of 22 cars is __
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Several of the tutors on this site, myself included, will not work problems that include this.
How do think we could make use of it?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It sounds like the order that the top 3 finish matters, so
if the top 3 are 7, 19, 21, then the possible orders are:
7, 19, 21
7, 21, 19
19, 7, 21
19, 21, 7
21, 7, 19
21, 19, 7
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So, you want the number of permutations , 22 things
taken 3 at a time:
+n%21+%2F+%28+n+-+r+%29%21+
+n+=+22+
+r+=+3+
+22%21+%2F+%28+22+-+3+%29%21+
+22%21+%2F+19%21+=+22%2A21%2A20+
+22%21+%2F+19%21+=+9240+
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check the math & get another opinion