There are 97 baseball team participating in a tournament. The champion is chosen by the usual elimination scheme. That is, all teams are divided into pairs, and two teams of each pair play against each other. The loser of each pair is eliminated, and the remaining teams are paired up again.
How many games must be played to determine a champion?
If you think, you will realize that 96 teams has to be eliminated to determine a champion and each game played eliminates one and only one team so in total 96 games has to be played to determine a champion.
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