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Math. competition, (Posted on 2012-03-21) Difficulty: 4 of 5
In a mathematical competition, in which 6 problems were posed to the participants, every two of these problems were solved by more than 2/5 of the contestants.
Moreover, no contestant solved all the 6 problems.
Show that there are at least 2 contestants who solved exactly 5 problems each.

source: IMO 2005

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.7500 (4 votes)

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good one | Comment 37 of 103 |
OMG! This fact is so hard to believe that you make all these jewels with your own. If this is the case, then I’ll buy some colorful beads from my foto zeichnen lassen nearest mart and will make them. But I must say that the sea green color that you chose for it make it the perfect matcher to the silver beads.
  Posted by Mari Bartlett on 2022-10-06 09:10:08
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