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Table's peculiarity (Posted on 2015-11-29) Difficulty: 3 of 5
Prove that no matter how each cell of a 5 x 41 table is filled with a 0 or 1, one can choose 3 rows and 3 columns which intersect in 9 cells filled with identical numbers.

Prove that 41 is the lowest possible n for 5 x n table; i.e., the statement is not true for a 5 x 40 table.

Source: Colorado math contest.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
SolutionLook, no hands!broll2015-11-30 23:53:34
re(3): Example neededCharlie2015-11-30 19:09:30
Questionre(2): Example neededbroll2015-11-30 10:50:23
re: Example neededCharlie2015-11-30 08:24:58
QuestionExample neededbroll2015-11-30 03:20:39
SolutionA little hand-waving (spoiler)Steve Herman2015-11-29 11:07:53
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