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

Question

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?

Accepted Answer

In a single-elimination tournament, every match played results in exactly one player being eliminated (the loser). The tournament continues until only one player remains as the winner.

To determine the winner from 150 entrants, 149 players must be eliminated. Since each match eliminates one player, 149 matches must be played to eliminate 149 players and leave one champion.

Analysis of options:
A) 151: Incorrect. This would mean more players are eliminated than started, or the tournament structure is different.
B) 150: Incorrect. If 150 matches were played, 150 players would be eliminated, meaning no winner would remain.
C) 149: Correct. This is the exact number of eliminations required to have one winner from 150 participants, with each match causing one elimination.
D) 148: Incorrect. If only 148 matches were played, only 148 players would be eliminated, leaving two players, meaning the tournament would not be complete.

Answer

151

Answer

150

Answer

149

Answer

148

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?

Explanation

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