In a tournament of Chess having 150 entrants, a player is eliminated whenever he loses a match. It is given…

In a tournament of Chess having 150 entrants, a player is eliminated whenever he loses a match. It is given that no match results in a tie/draw. How many matches are played in the entire tournament?
  1. 151
  2. 150
  3. 149
  4. 148

Solution

In a knockout tournament with no draws, every match eliminates exactly one player. To produce one winner from 150 entrants, 149 players must be eliminated, requiring 149 matches.

Asked in: CSAT 2022

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