alpha - beta - gamma tournament in a class
Source: Flanders Math Olympiad 2012 p1
December 24, 2022
combinatorics
Problem Statement
Our class decides to have a alpha - beta - gamma tournament. This party game is always played in groups of three. Any possible combination of three players (three students or two students and the teacher) plays the game time. The player who wins gets point. The two losers get no points. At the end of the tournament, miraculously, all students have as many points. The teacher has points. How many students are there in our class?