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Knockout Tournament Matches Puzzle

Knockout Tournament Matches Puzzle - 9 September

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).

(a) If 15 matches are played in total, how many players participated?

(b) If 50 players took part in the tournament, how many matches were played?

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  1. If 15 matches are played there are 15 losers and one winner a total of 16 players.

    With 50 players there would 49 losers thus 49 games the winner has won his last game (49th game) and is left with no competitor.