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Knockout tournament (singles): Find the minimum matches to determine a winner among 30 players. Rules: One loss eliminates a player (single-elimination); no ties. How many matches are needed at minimum to produce a single champion? Choose the correct count.

Q: Knockout tournament (singles): Find the minimum matches to determine a winner among 30 players. Rules: One loss eliminates a player (single-elimination); no ties. How many matches are needed at minimum to produce a single champion? Choose the corre…

Concept/Approach Each match eliminates exactly one player. To go from 30 players to 1 winner, 29 eliminations must occur. Calculation Matches needed = Players − 1 = 30 − 1 = 29. Final Answer 29

Difficulty: Easy

15
29
61
None of these

Correct Answer: 29

Explanation:

Concept/Approach
Each match eliminates exactly one player. To go from 30 players to 1 winner, 29 eliminations must occur.

Calculation
Matches needed = Players − 1 = 30 − 1 = 29.

Final Answer
29

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