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MathNet 2001 — Part 01 Question 79

Math Olympiad Vault · MathNet 2001 — Part 01

Question 79

In a basketball tournament each team plays all the other participating teams exactly twice. The tournament is won by just one team at the top of the table with 26 points, while exactly two teams finish last with 20 points. How many teams participated in the tournament?

(Remember that in basketball 2 points are awarded to the winning team and 0 to the losing team, while it is not possible for a game to end in a draw.)