Baseball Enigma
Personal Comment: This is too easy!
Baseball Enigma
Story: 97 baseball teams participate in an annual state tournament.
The way the champion is chosen for this tournament is by the same old
elimination schedule. That is, the 97 teams are to be divided into
pairs, and the two teams of each pair play against each other.
After a team is eliminated from each pair, the winners would
be again divided into pairs, etc.
Enigma: How many games must be played to determine a champion?
Read on for the answer......
Solution: 96. Since there are 97 teams, 1 team loses each game and you want to end up with one remaining team, you just hav 1 losing team 96 times and have the remaining one team left. Similarly, if you want to have 7 teams undefeated, you play 90 games.
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