Question 51
$n$ players participate in a chess tournament. Each player plays exactly one game with each of the other players. A victory scores 1 point, a draw a half point and a loss no point. A game is said to be abnormal if the winner of this game gets a strictly lower tournament score than the loser.
a) Show that the proportion of abnormal parts is less than or equal to $75\%$.
b) Is it possible that it is greater than or equal to $70\%$?
a) Show that the proportion of abnormal parts is less than or equal to $75\%$.
b) Is it possible that it is greater than or equal to $70\%$?