For items 1-10, consider the following: The members of Math Club are to choos among four candidates, M, A, T, H. The following table shows the result of the elect 2 2 A H НАМ TT Number of votes 18 12 T M 3 First Choice H T Second Choice M A T Third Choice A MH H

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 3PTTS
icon
Related questions
Question
For items 1-10, consider the following: The members of Math Club are to choose a representative
among four candidates, M, A, T, H. The following table shows the result of the election.
Number of votes
18
12 5 3 2 | 2
First Choice
H
T
M
A
H
T
Second Choice
M
A
T
H
A
Third Choice
A
M
H
H
Fourth Choice
T
H
AMMA
1. How many voters choose A as their first choice?
2. Who won the election by plurality?
3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choi
received?
how many points T have
4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second
choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have
received?
5. Who won the election by Borda count method?
6. Using the plurality with elimination method, who is the candidate to be eliminated in the first
round (candidate with the least number of first place votes)?
7. Using the plurality with elimination method, who is the candidate to be eliminated in the second
round?
8. Who won the election by plurality with elimination method?
9. Using pairwise comparison method, who won between candidate M and candidate A?
10. Who won the election using the pairwise comparison method?
Transcribed Image Text:For items 1-10, consider the following: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The following table shows the result of the election. Number of votes 18 12 5 3 2 | 2 First Choice H T M A H T Second Choice M A T H A Third Choice A M H H Fourth Choice T H AMMA 1. How many voters choose A as their first choice? 2. Who won the election by plurality? 3. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choi received? how many points T have 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the second choice, 2 points for the third choice and 1 point for the fourth choice, how many points H have received? 5. Who won the election by Borda count method? 6. Using the plurality with elimination method, who is the candidate to be eliminated in the first round (candidate with the least number of first place votes)? 7. Using the plurality with elimination method, who is the candidate to be eliminated in the second round? 8. Who won the election by plurality with elimination method? 9. Using pairwise comparison method, who won between candidate M and candidate A? 10. Who won the election using the pairwise comparison method?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning