MathDB
largest possible value of sum of third powers in a tennis tournament

Source: Greece JBMO TST 2018 p3

April 29, 2019
algebracombinatoricsmaximumSumSum of powers

Problem Statement

1212 friends play a tennis tournament, where each plays only one game with any of the other eleven. Winner gets one points. Loser getos zero points, and there is no draw. Final points of the participants are B1,B2,...,B12B_1, B_2, ..., B_{12}. Find the largest possible value of the sum Σ3=B13+B23+...+B123\Sigma_3=B_1^3+B_2^3+ ... + B_{12}^3 .
Back to ProblemsView on AoPS