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Using the mathod of mathematical induction

  1. Feb 7, 2010 #1
    1. The problem statement, all variables and given/known data
    Let H be a ten- element set of potive integers ranged from 1 to 99. Prove that H has two disjoint subsets A and B so that the sum of the elements of A is equal to the sum of the elements of B.
     
  2. jcsd
  3. Feb 7, 2010 #2
    This is a pigeonhole question, not an induction question.
    hint:

    If you have 10 different numbers, how many different ways can you choose a subset of them? (to make a sum)


    and also,

    what is the range of answers you can possibly get? (numbers chosen from 1-99 and up to a maximum of 10 numbers)
     
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