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Combination math problem

  1. May 8, 2007 #1
    Question Statement
    4 boxes each contain a large number of identical balls, those in 1 box are red, those in the 2nd box are blue, those in the 3rd box are yellow and those in the remaining box are green. In how many ways can a set of five balls be chosen? (without restriction)

    My thoughts
    If the question is asking for the permutation, then the answer is 4^5 (since there is 4 colour and the colour can be repeated)

    But the question is asking for combinations. How should I attempt this question? Should I consider cases where all colours are the same/ different, 2 same 3 different.....etc.?
     
  2. jcsd
  3. May 8, 2007 #2
    yes...you can have all of same color , or two of same color and 3 of 3 different colors ans so on
     
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