a table tennis competition
Source: 2021 Dürer Math Competition Finals Day2 E+13 https://artofproblemsolving.com/community/c2749870_
January 9, 2022
combinatorics
Problem Statement
At a table tennis competition, every pair of players played each other exactly once. Every boy beat thrice as many boys as girls, and every girl was beaten by twice as many girls as boys. How many competitors were there, if we know that there were more boys than girls?
There are no draws in table tennis, every match was won by one of the two players.