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Math Help - permutation of 8-man race

  1. #1
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    permutation of 8-man race

    In how many ways can 8 athletes finish a race if three of the athletes are neck and neck at the finish line?

    The answer is supposedly 3!x5! = 720, but I don't see how this can be correct.
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  2. #2
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    Quote Originally Posted by b55v View Post
    In how many ways can 8 athletes finish a race if three of the athletes are neck and neck at the finish line? The answer is supposedly 3!x5! = 720, but I don't see how this can be correct.
    I agree that this could be worded more clearly to insure that answer.
    Let's change "if three of the athletes are neck and neck at the finish line"
    to "given that a particular three athletes will finish in the top three".
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