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Distribution problem

  1. May 12, 2007 #1
    1. The problem statement, all variables and given/known data
    How many ways can a deck of 52 cards be broken up into a collection of unordered piles of sizes:

    Three piles of 8 cards and four piles of 7 cards?

    2. Relevant equations



    3. The attempt at a solution

    ohkay, the first step i used is to think of the different piles as labels and find all possible distribution of these labels among the 52 cards, that is equal to
    (51!)/((7!)^4*(8!)^3)
    but i dont know what to do next.

    Thankyou for your help!
     
    Last edited: May 12, 2007
  2. jcsd
  3. May 12, 2007 #2

    matt grime

    User Avatar
    Science Advisor
    Homework Helper

    Try doing some smaller problems with fewer cards and fewer piles to see what you need to do.
     
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