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MathNet 2024-part-02 — 168 problems (EN–VI) Question 79

Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)

Question 79

In a school there are $n$ courses and $n$ students. The students are enrolled in several courses in such a way that two different students never have exactly the same courses. Prove that one can remove a course so that no pair of students ends up with exactly the same courses.