Consider a three-way race between candidates called A, B, and C with a preference table shown on the right. Complete parts (a) through (e) below. a. Find the winner by plurality. The winner by plurality is b. Find the winner by single runoff. The winner by single runoff is c. Find the winner by sequential runoff. The winner by sequential runoff is First Choice Second Choice Third Choice A B С 21 C B A 19 B C A 17 C A B 7

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...
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Consider a three-way race between candidates called A, B, and C with a preference table shown on the right
Complete parts (a) through (e) below.
a. Find the winner by plurality.
The winner by plurality is
b. Find the winner by single runoff.
The winner by single runoff is
c. Find the winner by sequential runoff.
The winner by sequential runoff is
d. Find the winner by point system (Borda count).
The winner by point system is
e. Find the winner by pairwise comparisons (Condorcet method)
The winner by pairwise comparisons is
First Choice
Second Choice
Third Choice
A
B
C
21
C
B
A
19
B
C
A
17
C
A
B
7
Transcribed Image Text:Consider a three-way race between candidates called A, B, and C with a preference table shown on the right Complete parts (a) through (e) below. a. Find the winner by plurality. The winner by plurality is b. Find the winner by single runoff. The winner by single runoff is c. Find the winner by sequential runoff. The winner by sequential runoff is d. Find the winner by point system (Borda count). The winner by point system is e. Find the winner by pairwise comparisons (Condorcet method) The winner by pairwise comparisons is First Choice Second Choice Third Choice A B C 21 C B A 19 B C A 17 C A B 7
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