How many teams in a tournament with certain point results?
Source: Italian Mathematical Olympiad 2001 - Problem 2
November 4, 2012
combinatorics proposedcombinatorics
Problem Statement
In a basketball tournament every two teams play two matches. As usual, the winner of a match gets points, the loser gets , and there are no draws. A single team wins the tournament with points and exactly two teams share the last position with points. How many teams participated in the tournament?