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IMSO 2021 Mathematics - International Essay Question 11

IMSO Maths · IMSO 2021 Mathematics - International Essay

Question 11

Five teams took part in a soccer tournament, where each team plays every other team exactly once. Each team gets 3 points for a win, 1 point for a draw and 0 points for a loss. After all matches have been played, is it possible for the total points of the five teams to be five consecutive positive integers? If yes, provide an example.

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