In a knockout tournament, if there are 16 teams, how many matches are needed to

Practice Questions

Q1
In a knockout tournament, if there are 16 teams, how many matches are needed to determine a winner?
  1. 15
  2. 16
  3. 17
  4. 18

Questions & Step-by-Step Solutions

In a knockout tournament, if there are 16 teams, how many matches are needed to determine a winner?
  • Step 1: Understand that in a knockout tournament, teams compete in matches, and the loser of each match is eliminated.
  • Step 2: Start with 16 teams. In the first round, half of the teams will be eliminated.
  • Step 3: Calculate how many teams will be left after each round. After the first round, 8 teams will remain.
  • Step 4: In the second round, the 8 remaining teams will compete, and 4 teams will be eliminated, leaving 4 teams.
  • Step 5: In the third round, the 4 teams will compete, and 2 teams will be eliminated, leaving 2 teams.
  • Step 6: In the final round, the last 2 teams will compete, and 1 team will be eliminated, determining the winner.
  • Step 7: Count the total number of matches played: 1 match for each elimination. Since there are 16 teams and 1 winner, 16 - 1 = 15 matches are needed.
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