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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:
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.

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