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IMSO 2025 Mathematics – International Essay Question 12

IMSO Maths · IMSO 2025 Mathematics – International Essay

Question 12

Twenty students participated in a chess tournament, where each student played every other student exactly twice. A student earns 3 points for a win, 1 point for a draw and 0 points for a loss. What is the maximum number of students that can have at least 90 points at the end of the tournament?