In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:
In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:
Solution
✅ Correct Option: 3
In this elimination tournament:
- Each match eliminates one player
- To go from 300 players to 1 winner
- Need to eliminate 299 players
- Each match eliminates exactly one player
- No draws possible
Therefore, need exactly 299 matches to eliminate 299 players.
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