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A table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament. How many matches were played?

Question

A table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament. How many matches were played?

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Solution

In a knockout tournament, every player except one, the winner, must lose exactly once. Therefore, the number of matches is one less than the number of players.

Step 1: Identify the total number of players. In this case, it's 100 players.

Step 2: Since every player except the winner will lose once, and each match has one loser, the number of matches equals the number of losers.

Step 3: Subtract one from the total number of players to find the number of matches.

So, 100 players - 1 (the winner) = 99 matches.

Therefore, 99 matches were played in the tournament.

This problem has been solved

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