Finding the Number of Permutations Using the Multiplication Principle
At a swimming competition, nine swimmers compete in a race.
ⓐHow many ways can they place first, second, and third?
ⓑHow many ways can they place first, second, and third if a swimmer named Ariel wins first place? (Assume there is only one contestant named Ariel.)
ⓒHow many ways can all nine swimmers line up for a photo?
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Algebra and Trigonometry 2e · §13.5 Counting Principles · Example 5
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