SOLUTION: In a round robin tennis tournament, every player plays against every other player. If 11 players are entered in a round robin tennis tournament, how many matches will be played?

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Question 356321: In a round robin tennis tournament, every player plays against every other player. If 11 players are entered in a round robin tennis tournament, how many matches will be played?
Found 2 solutions by ewatrrr, edjones:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, sry, forgot to divide by 2.
*Note: Each player plays 10 matches
There are 11 players total
In general, If n is the number of competitors, a pure round robin tournament requires (n/2)(n-1) games.
(If n is even, then in each of (n − 1) rounds, n/2 games could be run in parallel.
If n is odd, there will be n rounds with (n-1)/2 games and one competitor having no game in that round.)
110/2 or 55 matches will be played in this round robin tennis tournament

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
10+9+8+7+6+5+4+3+2+1