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Thirty two players play in a knock out tennis competition. Each player plays a first round match against one other player and the winner goes into the second round whilst the loser drops out. This process continues until there are only two players left who play a final to decide who is the champion. How many matches are played all together? 16 31 15 32

Question

Thirty two players play in a knock out tennis competition. Each player plays a first round match against one other player and the winner goes into the second round whilst the loser drops out. This process continues until there are only two players left who play a final to decide who is the champion. How many matches are played all together? 16 31 15 32

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Solution

In a knockout tournament, the total number of matches is always one less than the total number of players. This is because in each match, one player is eliminated. Therefore, to eliminate all but one player (the champion), you need to play one match for each player except the champion.

So, in a tournament with 32 players, the total number of matches played would be 32 - 1 = 31 matches.

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