A high school class of 28 students is to elect a president of the class. Three students
Chapter 15, Problem 20(choose chapter or problem)
A high school class of 28 students is to elect a president of the class. Three students Allison (A), Benjamin (B) and Chandra (C) have agreed to be nominated. A ballot consists of six possible choices depending on a students 1st preference, 2nd preference and 3rd preference for president: The outcome is as follows: choice 1 (6 votes), choice 2 (5 votes), choice 3 (2 votes), choice 4 (7 votes), choice 5 (4 votes), choice 6 (4 votes). Construct a tournament T with V (T ) = {A,B,C}, where (X, Y ) is a directed edge of T if X is preferred over Y by the 28 students. What should the outcome of the election be?
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