5 teams in an athletics tournament,
Source: Portugal OPM 2017 p3
May 15, 2024
combinatorics
Problem Statement
In an athletics tournament, five teams participate. Each athlete has a shirt numbered with a positive integer, and all athletes on the same team have different numbers. Each athlete participates in a single event and only one athlete from each team is present in each event. Emídio noticed that the sum of the athletes' jersey numbers in each event is always . What is the maximum number of athletes in the tournament?