A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.(a) How many players participate in the tournament if 15 matches are totally played?(b) How many matches are played in the tournament if 50 players totally participate?

A] See you don't need to sum it up. since it's a knock out only 1 person emerges winner finally.So 15+1=16 Because after 15 matches finally we should have 15losers and 1winner.
b]49.its always one less than no of players as per
the idea given above.

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annie abraham

  • Feb 10th, 2006
 

as matches played 15 times,each time 2 player.so the game will end when one is out.so next person come.again game will start.there shoul be a winner at end of the whole game so total number of players are 31.

15*2+1 

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