In a knockout tournament, if there are 16 teams, how many matches are required to determine the winner?
Practice Questions
1 question
Q1
In a knockout tournament, if there are 16 teams, how many matches are required to determine the winner?
15
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In a knockout tournament, the number of matches required to determine a winner is always one less than the number of teams. Therefore, for 16 teams, 16 - 1 = 15 matches are needed.
Questions & Step-by-step Solutions
1 item
Q
Q: In a knockout tournament, if there are 16 teams, how many matches are required to determine the winner?
Solution: In a knockout tournament, the number of matches required to determine a winner is always one less than the number of teams. Therefore, for 16 teams, 16 - 1 = 15 matches are needed.
Steps: 5
Step 1: Understand that in a knockout tournament, one team is eliminated in each match.
Step 2: Start with 16 teams. To find a winner, all teams except one must be eliminated.
Step 3: Since there are 16 teams, we need to eliminate 15 teams to have one winner.
Step 4: Each match eliminates one team, so the number of matches needed is equal to the number of teams eliminated.
Step 5: Therefore, to eliminate 15 teams, we need 15 matches.