Storm your brains to answer this question !!!!!?

Question

512 students are playing a knock out tournament. 2 players are involved in a match. How many matches need to be played so as to get one final winner? Answer with proper reasoning........ If you can't get the ans. simply post that you aren't able to storm your brains !!!!!

Answer 1

number of matches=number of players-1

512-1=511

511 matches

Answer 2

ja

Answer 3

511 is the answer.

Needs one game to eliminated every non-winner.

So, 511 games for the knock-out (single elimination) tournament.

Same method may be applied to double, triple.... elimination tournaments, how to schedule them is different problem.

Answer 4

256 + 128 + 64 + 32 + 16 + 8 + 4 + 2 = 510

Answer 5

In this question one twist is missing. That is do u want the maximum number of matches or minimum number of matches. Pls post the comment. Then only i can able to tell u the answer.

Answer 6

total player 512.

level 1:

512    /    2  =      256

level 2:

256    /    2     =128

level 3:

128   /  2=    64

level 4:

64   /   2 =32

level 5  :

32  / 2=16

level 6 :

16 / 2 = 8

level 7:

8 / 2  =4

level 8:

4 / 2 =2

level 9 (FINAL LEVEL):

2 / 2=CHAMPION(1)

therefore total match is   256+128+64+32+16+8+4+2+1=511.

answer :511

Answer 7

512 people play 256 matches toget 256 winnners

256 people play 128 matches toget 128 winners

_______64 m______64 winners

_______32m_______32Winners

____-___16m________16winners

________8m_________8winners

________4m_________4winners

________2m_________2winners

2 play 1 match to get 1 winner

=256+128+64+32+16+8+4+1 =511

OR

since the winner is supposed to be the best among all by indirectly competeing with everyone 511matches are needed to determine a winner

OR

NUMBER OF PEOPLE - 1 =    MATCHES

(APLLICABLE TO ANY NUMBER)

Answer 8

Ok so we halve 512, we get 256...then halve it to 128...so thats 384 matches so far...now 384-64=320, take 32 is 288...take 16 i 272, take 8 is 264, take 4 is 260, take 2 is 258 and take 1 is 257! :D

Therefore 257 matches are played to find 1 final winner...and i bet you anything that what i have just done has made absolutely no sense and is all wrong :)

Answer 9

512 player to play                       = 256 matches

256 winners further play               = 128 matches

128 winners to play                      = 64  matches

64 winners to play                       = 32  matches

32 winners to play                        = 16 matches

16 winners to play                        = 8   matches

8   winners to play                       =  4   matches  

4 winners to play                         =  2   matches

last pair of winners to play            =  1 match

The master winner shall not have any competitor play any match in the seiries.

Total matches played = 256 + 128 + 64 +32 +16 +8 +4 +2 +1

                                = 511

Answer 10

alot of games....

Answer 11

ONLY ONE MATCH

BECOZ

IT IS THE FINAL MATCH WHICH DECIDES THE "ONE FINAL WINNER"