TH-TMO 2009 Problem 3
Teeradet is a student in a class with people. He and his classmates form clubs, so that each club must have at least one student, and each student can be in more than one club. Suppose that any two clubs differ by at least one student, and all clubs Teeradet is in have an odd number of students. What is the maximum possible number of clubs?
Dataset text AI-MO AoPS. Quoted with source.
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