Chess tournament
Source: Canadian Mathematical Olympiad 1976 Problem 3
October 23, 2008
combinatorics proposedcombinatorics
Problem Statement
Two grade seven students were allowed to enter a chess tournament otherwise composed of grade eight students. Each contestant played once with each other contestant and received one point for a win, one half point for a tie and zero for a loss. The two grade seven students together gained a total of eight points and each grade eight student scored the same number of points as his classmates. How many students for grade eight participated in the chess tournament? Is the solution unique?