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The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?
- a)15
- b)29
- c)61
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The 30 members of a club decided to play a badminton singles tournamen...
Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1 = 29.
Most Upvoted Answer
The 30 members of a club decided to play a badminton singles tournamen...
Understanding the Tournament Structure
In a single-elimination tournament, each match results in one player losing and being eliminated from the competition. To determine a single winner from 30 players, we need to consider how many players must be eliminated.
Elimination Process
- In every match, one player loses and is out of the tournament.
- To find the overall winner, all players except one must be eliminated.
- Therefore, with 30 players, we need to eliminate 29 players.
Calculating Matches Played
- Since one player is eliminated per match, the number of matches played equals the number of players that need to be eliminated.
- Thus, to eliminate 29 players, 29 matches must be played.
Conclusion
- The minimum number of matches required to determine a winner among 30 players is 29.
- Therefore, the correct answer is option B (29).
This simple structure ensures that the tournament can proceed efficiently, with each match progressively narrowing down the competitors until only one remains.
In a single-elimination tournament, each match results in one player losing and being eliminated from the competition. To determine a single winner from 30 players, we need to consider how many players must be eliminated.
Elimination Process
- In every match, one player loses and is out of the tournament.
- To find the overall winner, all players except one must be eliminated.
- Therefore, with 30 players, we need to eliminate 29 players.
Calculating Matches Played
- Since one player is eliminated per match, the number of matches played equals the number of players that need to be eliminated.
- Thus, to eliminate 29 players, 29 matches must be played.
Conclusion
- The minimum number of matches required to determine a winner among 30 players is 29.
- Therefore, the correct answer is option B (29).
This simple structure ensures that the tournament can proceed efficiently, with each match progressively narrowing down the competitors until only one remains.
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The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?a)15b)29c)61d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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