The list of the winners in an Olympic competition is composed of the name of the gold medalist, the name of the silver medalist, and the name of the bronze medalist. A total of 8 athletes participate in the competition. The total number of possible lists of winners is..

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The list of the winners in an Olympic competition is composed of the name of the gold medalist, the name of the silver medalist, and the name of the bronze medalist. A total of 8 athletes participate in the competition. The total number of possible lists of winners is..

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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is it (8 choose 3) times 3 factorial which is 336?
Yes.
http://www.wolframalpha.com/input/?i=permutations+of+3+from+8

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