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Math. competition, (Posted on 2012-03-21) |
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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
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Submitted by Ady TZIDON
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Rating: 4.7500 (4 votes)
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security guards california
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| Comment 112 of 117 |
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