MathDB
Tournament combi

Source: Moldova TST 2020

March 8, 2020
combinatorics

Problem Statement

In a chess tournament each player played one match with every other player. It is known that all players have different scores. The player who is on the last place got kk points. What is the smallest number of wins that the first placed player got? (For the win 11 point is given, for loss 00 and for a draw both players get 0,50,5 points.)