Science, asked by rahulgupta100008, 1 year ago

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what is the formula of calculating total number of matches in knock - out tournament?

Answers

Answered by gautam96
41
for calculating no.of matches you have to use formula
n (n-1)/2
hope it helps you dear ☺

gautam96: thanks dear
Answered by GOZMIt
7
heyy bro rahul i hope this example is help ful to you.........


A total of 512 players participated in a single tennis knock out tournament. 
What is the total number of matches played in the tournament? 
(Knockout means if a player loses, he is out of the tournament). No match ends in a tie. 
A 511 

B 512 

C 256 

D 255 

E 1023 

I chose D, solved this way - after first 256 matches, remaing players 256 (those 256 who lost are knocked out), after another 128 matches, remaining players are 128, after 64 more matches, no of remainig players are 64, after 32, 32, after 16, 16, after 8, 8, after 4, 4, after 2,2, and then 1 - 
total 256 + 128+64+32+16+8+1 = 255 matches ................

hope this will help u................@kundan
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