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Graph theory In a certain school, there are 39 clubs and 194 students. Some students do not...

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Advance Math

Graph theory

In a certain school, there are 39 clubs and 194 students. Somestudents do not belong to any clubs but every club has at least onemember and no two clubs have the same number of members. Prove thatthere is a way to choose one student from each club ending up with39 different students.

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