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An online video game tournament begins with 1024 players. Four players play in each  game. In each game there is only one winner, and only the winner advances to the  next round. How many games will the winner play?

 Mar 5, 2020
 #1
avatar+904 
-2

For round one there are 1024/4 = 256 winners, 256/4 = 64, 64/4=16, 16/4=4, 4/4 = 1. thats 5 games.

 Mar 5, 2020
 #2
avatar+25776 
+1

1024    512    256    128    64

oops ....misread the Q !  

 Mar 5, 2020
edited by ElectricPavlov  Mar 5, 2020
 #4
avatar+904 
-3

There are 4 players per round, not 2. Your logic is correct though.

hugomimihu  Mar 5, 2020
 #3
avatar+108 
+2

Everytime, the total number of players is divided by 4

1024 = 4^5 

Answer 5 games

 Mar 5, 2020
edited by brianlaw  Mar 5, 2020
 #5
avatar+111430 
+1

The winner  will  play

 

log 1024  / log 4  =  5   games

 

cool cool cool

 Mar 5, 2020
 #6
avatar+904 
-1

When CPhill makes a question look SO easy: every looks down...

hugomimihu  Mar 5, 2020
 #7
avatar+111430 
0

LOL!!!....I dunno  about that.....sometimes....I  make  the "easy" ones look "hard"

 

cool cool cool

CPhill  Mar 5, 2020

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