Question 148
In a chess tournament, every player played against every other player exactly once. In each game, a player gets 1 point for a win, $1/2$ for a draw and 0 points for a loss. At the end of the tournament, a reporter added up the scores of all the players and obtained 190 points. In this type of tournament, the winner is the one who scores the most points.
a) How many players took part in the tournament?
b) André took part in the tournament and scored 9 points. Show that, even without knowing the other scores, André was not the winner of the tournament.
a) How many players took part in the tournament?
b) André took part in the tournament and scored 9 points. Show that, even without knowing the other scores, André was not the winner of the tournament.