Rioplatense 2022 - Level 1 - Problem 2
Source:
December 6, 2022
combinatorics
Problem Statement
Four teams , , and play a football tournament in which each team plays exactly two times against each of the remaining three teams (there are matches). In each matchif it's a tie each team gets point and if it isn't a tie then the winner gets points and the loser gets points.
At the end of the tournament the teams , and have points each. Determine all possible points of team .