Question:
A Men Singles Tennis Tournament is being held out at Mumbai. 30 players participated in the tournament. There is a rule that is implemented, the rule states that, if a player loses a match then he is eliminated from the tournament. How many matches have to be played to decide the winner of the tournament?
A Men Singles Tennis Tournament is being held out at Mumbai. 30 players participated in the tournament. There is a rule that is implemented, the rule states that, if a player loses a match then he is eliminated from the tournament. How many matches have to be played to decide the winner of the tournament?
Updated On: Sep 3, 2025
- 30
- 15
- 29
- 10
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
To determine the number of matches that need to be played in a single-elimination tennis tournament with 30 players, we should understand the structure of such a tournament. In a single-elimination tournament, one player wins the entire event, and every other player loses exactly once and is then eliminated. Thus, the number of matches necessary to decide a winner equals the number of players minus one.
Explanation:
- Each match results in one player being eliminated.
- We begin with 30 players, and we need to determine a winner, which means all other players (29) must lose one match each and be eliminated.
- Therefore, the total number of matches played will be 30 (total players) - 1 (the winner who is not eliminated) = 29 matches.
Thus, the correct answer is 29 matches.
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