There are 23 football players, with some strength associated with each player. To conduct a football match among them, you select a referee and divide the remaining 22 players into two groups with 11 players each and with total strength of one group(sum of strengths of all players) equal to total strength of the other(If possible).
The given set of strengths is in a way that it is possible to start a game with any player as referee. Prove that all players have equal strengths.
Courtesy : Vinod Kumar Reddy