SOLUTION: A single elimination tournament also known as a knockout tournament is one where a loser of a match is automatically eliminated from the tournament. The winner of each round contin
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Question 1119412: A single elimination tournament also known as a knockout tournament is one where a loser of a match is automatically eliminated from the tournament. The winner of each round continue to play each other until a single winner is declared. Determine the total number of matches that are necessary for a chess tournament involving 1024 participants Found 2 solutions by Boreal, greenestamps:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! start with 4 teams, 2^3.
A plays B
C plays D
E plays F
G plays H
The second round features 4 teams, 2 matches
The third round features 2 teams and 1 match for the championship.
That is 7 matches or 2^3-1
1024 is 2^10
The number of matches is 2^10-1 or 1023.
In a single elimination tournament, 1 participant is eliminated each match. To end up with a single winner in a tournament with n participants, the number of matches required is (n-1).
