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Each year a local country club sponsors a tennis tournament.  Play starts with 256 participants.  During each round, half of the players are eliminated.  How many players remain after 6 rounds?

 Apr 15, 2017
 #1
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+1

Since 2^x =256

x = 8 total rounds. Therefore,

2^(8 - 6) =2^2 =4 players left after 6 rounds, or the semi-finalists.

 Apr 15, 2017
 #2
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+2

The field is halved after every round......so.......after 6 rounds we have

 

256 / 2^6  =   256 / 64  =  4 players left

 

 

cool cool cool

 Apr 15, 2017

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