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IMSO 2013 — Mathematics — Essay Question 12

IMSO Maths · IMSO 2013 — Mathematics — Essay

Question 12

In a chess tournament with 15 players, every two players play against each other once. A win is worth 2 points, a draw 1 point and a loss 0 points. A prize is given to any player with a total score of at least 20 points. What is the maximum number of prize winners?