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MathNet 2017-part-03 — 176 problems (EN–VI) Question 73

Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)

Question 73

At a mathematical competition $n$ students work on 6 problems each one with three possible answers. After the competition, the Jury found that for every two students the number of the problems for which these students have the same answers is 0 or 2. Find the maximum possible value of $n$.