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Seven horses are running in a race. In how many ways can we have first-, second-,...

Seven horses are running in a race. In how many ways can we have first-, second-, and third-place finishers, assuming there are no ties?

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Answer #1

Solution:

In the given problem, we have 7 horses running in a race.

We have to find the number of ways the first, second, and third places can be filled.

Since the order matters here, therefore, we have to use the permutation rule to find the number of possible ways.

Therefore, the number of ways we can have the first, second, and third-place finishers are 210

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