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If four cats and five mice enter a race

  1. Apr 11, 2004 #1
    If four cats and five mice enter a race, how many ways can they finish with a mouse placing first, second, and third?

    I was about to say that the answer would be P 9, 5 but not sure...
     
  2. jcsd
  3. Apr 11, 2004 #2
    Seems to me like the answer would be 6! = 720. But I might be talking out of my ass.
     
    Last edited: Apr 11, 2004
  4. Apr 11, 2004 #3
    5*4*3*6!

    In first place, there are only 5 choices, one of the mice. In second place, there are only 4, since one of the mice is already chosen. In third, there're 3 choices. In the remaining, all choices are open.

    cookiemonster

    Edit: Noticed a weird word in there that didn't belong.
     
    Last edited: Apr 11, 2004
  5. Apr 11, 2004 #4

    matt grime

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    are the mice distinguishable...? it will influence the answer.
     
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