Puzzles and logic › Tournaments and games › Counting matches

Participants in a chess tournament

High school · ●●●●○ 100 pts

Each participant in a chess tournament played one game against each of the other participants. A win earns one point, a draw earns half a point, and a loss earns no points. At the end of the tournament, it was determined that each participant had earned exactly half of their points in games against the three competitors who finished in the last three places. How many participants were there in the tournament?

Sign in to save your progress.

round-robin tournamentsquadratic equationscombinatorics