A single-elimination tournament, also known as a knockout tournament, is one where the loser of a match is automatically eliminated from the tournament. The winners 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.
A single-elimination tournament, also known as a knockout tournament, is one where the loser of a match is automatically eliminated from the tournament. The winners 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.
After 1 round there are 512 participants.
After 2 rounds there are 256 participants.
After 3 rounds there are 128 participants.
After 4 rounds there are 64 participants.
After 5 rounds there are 32 participants.
After 6 rounds there are 16 participants.
After 7 rounds there are 8 participants.
After 8 rounds there are 4 participants.
After 9 rounds there are 2 participants.
After the 10th round, there is one winner.
.
+36916 First round Start 1024 people
512 games 512 people left
256 games 256 people left
128 games 128 people left
64 games 64 people left
32 games 32 people left
16 games 16 people left
8 games 8 people left
4 games 4 people left
2 games 2 people left
only one game left----- last game for a winner ! A total of 1023 games played
