Question 19
In a tournament, any two players play each other. Each player gets one point per win, $1/2$ for a tie and $0$ point by defeat. Be $S$ the set of $10$ lower scores. We know that each player got half of their score by playing against players $S$.
a) what is the sum of the scores of the players of $S$?
b) Determine how many participants the tournament has. Note: Each player plays only once with each opponent.
a) what is the sum of the scores of the players of $S$?
b) Determine how many participants the tournament has. Note: Each player plays only once with each opponent.