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Math Help - Combinatorics - Tim Tams!

  1. #1
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    Combinatorics - Tim Tams!

    I have been attempting to figure out the below question for over two hours. Could someone please help me towards a solution. Combination formula is not working for me.

    "In how many ways can a packet of 24 TimTams be distributed amongst 6 chocoholics, so that nobody gets
    more than 8 Tim Tams."
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  2. #2
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    Re: Combinatorics - Tim Tams!

    Quote Originally Posted by floorplay View Post
    Combination formula is not working for me.
    "In how many ways can a packet of 24 TimTams be distributed amongst 6 chocoholics, so that nobody gets more than 8 Tim Tams."
    You wrote "Combination formula is not working for me." I have no doubt that that is absolutely the case. This would be a nightmare of a problem if one tries to use inclusion/exclusion or some such.
    Last edited by Plato; October 17th 2012 at 09:58 AM.
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  3. #3
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    Re: Combinatorics - Tim Tams!

    lol the 'combination formula'. We started binomial theorem only the other day so I probably would have never got that answer. Thanks for the explanation and link.
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    Re: Combinatorics - Tim Tams!

    I think we can do this with generating functions. Take the coeff of x^24 in f(x)=(1+x+x^2+x^3+...+x^8)^6
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