In how many different ways can the first, second and third prize winners be selected from a group of 8 people running a race? [assume that there are no ties].

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Correct Answer: **A.** *8! / 5!*

If this was about choosing 3 people out of a group of 8 (where the order of the three people didn’t matter), the answer would have been:

However, in this case, we need to distinguish between the first, second and third prize winners, and it becomes a permutation problem. The number of ways to select the three winners is:

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