MathDB
2023 CUBRMC Proof #2 3n + 1 teams in the MLS

Source:

March 8, 2024
combinatoricscubrmc

Problem Statement

This season, there are 3n+13n + 1 teams in the MLS (Major League Soccer). As of now, each team has played exactly nāˆ’1n -1 matches. Prove that there exist 44 teams such that none of the 44 teams have faced each other.
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