At a chess tournament the winner gets 1 point
Source: VAIMO 1, German Pre-TST 2003
July 17, 2011
functioncombinatorics unsolvedcombinatorics
Problem Statement
At a chess tournament the winner gets 1 point and the defeated one 0 points. A tie makes both obtaining points. 14 players, none of them equally aged, participated in a competition where everybody played against all the other players. After the competition a ranking was carried out. Of the two players with the same number of points the younger received the better ranking. After the competition Jan realizes that the best three players together got as many points as the last 9 players obtained points together. And Joerg noted that the number of ties was maximal. Determine the number of ties.