In the group stage of a tournament, 32 teams are separated into 8 groups of 4. Every team plays each other team in their group twice, playing 6 games total. Games may end in a tie. Show that there will be two teams with the same win-loss-tie record.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In the group stage of a tournament, 32 teams are separated into 8 groups of 4. Every
team plays each other team in their group twice, playing 6 games total. Games may
end in a tie. Show that there will be two teams with the same win-loss-tie record.
Transcribed Image Text:In the group stage of a tournament, 32 teams are separated into 8 groups of 4. Every team plays each other team in their group twice, playing 6 games total. Games may end in a tie. Show that there will be two teams with the same win-loss-tie record.
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