Eight members of a chess club are having a tournament. In the first round every player will play a chess game against every othe

Question

timurjin [86]

3 years ago

9

Eight members of a chess club are having a tournament. In the first round every player will play a chess game against every othe

r player. How many games will be in the first tournament

Mathematics

1 answer:

monitta · Answer 1 · 2022-07-19T00:48:32+03:00

monitta3 years ago

3 0

Same as handshake problem.
Each of n persons plays against n-1 persons for a total of n(n-1)/2 games.
The division by 2 is necessary to avoid double counting the game A vs B and B vs A.

For n=8, then number of games played in the first round is 8(8-1)/2=28 games.