olymmath

PAMO 2002 Problem 4

  • Day 2

Seven students in a class compare their marks in 12 subjects studied and observe that no two of the students have identical marks in all 12 subjects. Prove that we can choose 6 subjects such that any two of the students have different marks in at least one of these subjects.

Dataset text AI-MO AoPS. Quoted with source.

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