Problem #PRU-64696

Problems Algebra Number theory. Divisibility Odd and even numbers Methods Pigeonhole principle Pigeonhole principle (other) Word Problems Tables and tournaments Tournament tables

Problem

16 teams took part in a handball tournament where a victory was worth 2 points, a draw – 1 point and a defeat – 0 points. All teams scored a different number of points, and the team that ranked seventh, scored 21 points. Prove that the winning team drew at least once.