Question

12 professional billiards players are set to play a round-robin tournament, i.e. everyplayer must play a match against each other player exactly once.(a) (6 points) How many total matches will be played?

Answer 1

There are 12 people, so each player is playing 11 matches.

Multiply the number of matches of each person by the number of people, then divide that by 2 since there are 2 people playing one match.

Total matches = (11 x 12)/2 = 66 total matches.