MathDB
Problems
Contests
National and Regional Contests
Belgium Contests
Flanders Math Olympiad
2012 Flanders Math Olympiad
1
1
Part of
2012 Flanders Math Olympiad
Problems
(1)
alpha - beta - gamma tournament in a class
Source: Flanders Math Olympiad 2012 p1
12/24/2022
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
1
1
1
time. The player who wins gets
1
1
1
point. The two losers get no points. At the end of the tournament, miraculously, all students have as many points. The teacher has
3
3
3
points. How many students are there in our class?
combinatorics