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MathNet 2026 — Part 04 Question 89

Math Olympiad Vault · MathNet 2026 — Part 04

Question 89

Seven students in a class compare their marks in 12 tests, and notice that there are not two students with identical grades in each of the 12 tests. Show that one can choose 6 tests such that any two students have different grades at at least one of these tests.