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  • 116 people participated in a knockout tennis tournament. The players are paired up in the first round, the winners of the first round are paired up in the second round, and so on till the

116 people participated in a knockout tennis tournament. The players are paired up in the first round, the winners of the first round are paired up in the second round, and so on till the final is played between two players. If after any round, there is odd number of players, one player is given a bye, i.e. he skips that round and plays the next round with the winners. The total number of matches played in the tournament is

 

Option: 1

115


Option: 2

53


Option: 3

232

 


Option: 4

116


Answers (1)

best_answer

 Since one player emerges the winner, each of the remaining 115 players loses in some round. So 115 matches are played. Alternatively, 58+29+14+7+4+2+1=115

 

Posted by

Shailly goel

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