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Hard task

  • Thread starter klawesyn28
  • Start date
  • #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
 

Answers and Replies

  • #2
1,425
1
Hint: List all the possibilities. But I don't think that is effective...
 
Last edited:
  • #3
I think that the answer is 4^5 but i don't know how to prove it.
 

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