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16 players in a chess tournament, 15 get first place, points of 16th ?

Source: Tuymaada Junior 2001 p1

April 30, 2019
combinatoricsgamepoints

Problem Statement

1616 chess players held a tournament among themselves: every two chess players played exactly one game. For victory in the party was given 11 point, for a draw 0.50.5 points, for defeat 00 points. It turned out that exactly 15 chess players shared the first place. How many points could the sixteenth chess player score?