How many players participated in the tournament? A chess tournament was organized in a round-robin format. Each player had to play the other participants in the tournament once. At the end of the tournament it was seen that a total of 120 matches were played. How many players participated in the tournament?

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Answers

2015-11-19T11:07:42+05:30
If 16 players participated, then the first player played matches against the other 15 players.

The second player has already played against the first player, and so has to play matches against only the other 14 players.
 
In this manner, the second-last player has to play against only one player, and the last player has already played against all the players. Thus, the total number of matches is:
15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 0 = 120.

Hope I helped you! :)
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