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MathNet 2018-part-06 — 181 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)

Question 92

60 participants took part in the Olympiad. They were offered 8 tasks, evaluated from 0 to 7 points each. Prove, that in total there are 3 participants, whose results differ in not more than 1 point. Would the statement be true, if 58 took part in the Olympiad?

*Result of a participant at Olympiad is the total amount of the points he got.*