Question:

In a school, 120 boys have registered for a singles carrom tournament. Each match eliminates one player. How many matches are to be organized to determine the champion?

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In a single-elimination tournament, the number of matches required is always one less than the number of participants. This is because each match eliminates one player, and the last player standing is the champion.
  • 60
  • 61
  • 119
  • 120
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The Correct Option is C

Solution and Explanation

In a single-elimination tournament, every match results in one player being eliminated. To determine the champion, we need to eliminate all the other players.
1. The total number of players registered for the tournament is 120.
2. In each match, one player is eliminated, so each match reduces the number of players by 1.
3. To find the champion, we need to leave only 1 player, meaning we need to eliminate 119 players.
4. Since each match eliminates one player, the total number of matches required to eliminate 119 players is also 119.
Thus, the total number of matches required to determine the champion is 119.
Therefore, the correct answer is (3) 119.
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