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Homework Help: Hard task

  1. Sep 21, 2005 #1
    I don't know how to solve this task:

    Participants of math competition are solving six tasks. For each task
    you can get one of marks - 6,5, 3 or 0 .
    It transpired that for each pair of participants we can indicate two
    tasks , that in each of them participant A got different mark from
    participant B.
    Delimit the highest number of participants for which this situation is
    possible.

    Could anybody help me?

    Thanks in advance
     
  2. jcsd
  3. Sep 21, 2005 #2
    Hint: List all the possibilities. But I don't think that is effective...
     
    Last edited: Sep 21, 2005
  4. Sep 22, 2005 #3
    I think that the answer is 4^5 but i don't know how to prove it.
     
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