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Math Help - How many ways

  1. #1
    MHF Contributor alexmahone's Avatar
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    How many ways

    In how many ways can n - 5 + 1 balls, labelled from 5 to n be placed into 5 bags, labelled from 1 to 5?

    (n > 4 and a bag may contain 0 balls.)
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  2. #2
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    Re: How many ways

    Quote Originally Posted by alexmahone View Post
    In how many ways can n - 5 + 1 balls, labelled from 5 to n be placed into 5 bags, labelled from 1 to 5? (n > 4 and a bag may contain 0 balls.)
    Why is this marked as solved?
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  3. #3
    MHF Contributor alexmahone's Avatar
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    Re: How many ways

    Quote Originally Posted by Plato View Post
    Why is this marked as solved?
    I got the solution from another math forum.
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  4. #4
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    Re: How many ways

    Quote Originally Posted by alexmahone View Post
    I got the solution from another math forum.
    That is unfair to the other users of this forum.
    Post the solution. Then it is fair.
    Otherwise, I think you should not be allowed back on this site.
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  5. #5
    MHF Contributor alexmahone's Avatar
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    Re: How many ways

    Quote Originally Posted by Plato View Post
    That is unfair to the other users of this forum.
    Post the solution. Then it is fair.
    Otherwise, I think you should not be allowed back on this site.
    I hope you're kidding!

    There are 5 choices for ball 1 (labeled 5), 5 choices for ball 2 (labeled 6), and so on. So the answer is 5^{n-4}.
    I initially thought that the solution to this problem would help me solve http://www.mathhelpforum.com/math-he...em-186303.html but I was wrong.
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