**Problem of the Week**

**Math Club**

**BUGCAT 2020**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

**BingAWM**

pow:problem7f20

Problem 7 (due Monday, December 7)

A female soccer club has 23 players. The strength of each player is a positive integer assigned to the player based on her performance in the last 3 seasons. It turns out that leaving any player aside, the remaining 22 players can be divided into two teams of 11 so that the sum of strengths of all players in each team is the same. Prove that all players have the same strength.

Only one solution was received, form Yuqiao Huang. His solution is essentially the same as ours. The solution and some additional remarks are contained in the following link Solution

pow/problem7f20.txt · Last modified: 2020/12/07 23:38 by mazur

Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Noncommercial-Share Alike 3.0 Unported