Thursday, July 19, 2007

Analytical Question #5

There is a game in which 3 players play each other and only one wins. If 81 players have participated in a tournament, how many matches will be played to decide the winner?

Round 1: 81/3 = 27 Games ==> 27 Winners
Round 2: 27/3 = 9 Games ==> 3 Winners
Round 3: 9/3 = 3 Games ==> 3 Winners
Round 4: 3/3 = 1 Game ==> 1 Winner
Total Games Played to decide the Winner = 27 + 9 + 3 + 1 = 40.

OR

Since each game eliminates 2 players and there are 80 players to be eliminated, the total number of games palyed to decide the winner is 80/2 = 40.

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