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97 baseball teams participate in an annual state tournament. The champion is chosen for this tournament by the usual elimination scheme. That is, the 97 teams are divided into pairs, and the two teams of each pair play against each other. The loser of each pair is eliminated, and the remaining teams are paired up again, etc. How many games must be played to determine a champion?
Read Solution (Total 2)
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- (n-1) games played = (97-1)=96
- 11 years agoHelpfull: Yes(4) No(0)
- (97-1)/2=48
48/2=24;
24/2=12;
12/2=6;
6/2=3;
(3+1)/2=2;--->initially one team is removed from 97 added here
2/2=1;
48+24+12+6+3+2+1=96;
Simply n-1 formula use - 6 years agoHelpfull: Yes(0) No(0)
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