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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: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Still not there (4/5 solution?)Dej Mar2012-03-23 15:42:31
Some ThoughtsStill not there (4/5 solution?)Steve Herman2012-03-23 08:49:55
Some ThoughtsExactly 2/5Steve Herman2012-03-21 20:22:59
Hints/Tipsre(3): Is there an error of ways?Ady TZIDON2012-03-21 19:23:15
re(2): Is there an error of ways?Steve Herman2012-03-21 19:15:09
Hints/Tipsre: Is there an error of ways?Ady TZIDON2012-03-21 17:17:55
QuestionIs there an error of ways?Dej Mar2012-03-21 14:35:26
The error of my waysSteve Herman2012-03-21 11:12:53
Some ThoughtsA start (spoiler?)Steve Herman2012-03-21 10:39:26
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