Consider a knock-out women’s badminton singles tournament where there are no…
2026
Consider a knock-out women’s badminton singles tournament where there are no ties. The loser in each game is eliminated from the tournament. Every player plays until she is defeated or remains the last undefeated player. The last undefeated player is declared the winner of the tournament. If there are 64 players in the beginning of the tournament, how many games should be played in total to declare the winner of the tournament?
- A.
127
- B.
64
- C.
63
- D.
32
Attempted by 2 students.
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Correct answer: C
In a knockout tournament with no ties, every game eliminates exactly one player. To declare one winner from 64 players, 63 players must be eliminated. Therefore, the total number of games required is 64 - 1 = 63.
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