Question:medium
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: Aug 18, 2026
- 30
- 15
- 29
- 10
Show Solution
The Correct Option is C
Solution and Explanation
Step 1: Round 1: 30 players give 15 matches.
Step 2: Round 2: 15 players give 7 matches plus 1 bye, leaving 8 players.
Step 3: Round 3 to final: 8 players give 4 matches, then 4 give 2, then 2 give 1.
Step 4: Total matches: \( 15+7+4+2+1 = 29 \).
\[ \boxed{29} \]
Step 2: Round 2: 15 players give 7 matches plus 1 bye, leaving 8 players.
Step 3: Round 3 to final: 8 players give 4 matches, then 4 give 2, then 2 give 1.
Step 4: Total matches: \( 15+7+4+2+1 = 29 \).
\[ \boxed{29} \]
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