For items 1-10, consider the following: The members of Math Club are to choose a representat 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 Second Choice Third Choice Fourth Choice HT|M|A H T M| AT|H| A M A MHT T|H T|HAMMA 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 sece choice, 2 points for the third choice and 1 point for the fourth choice, how many points T h received? 4. Using the Borda count method and assigning 4 points for the first choice, 3 points for the sece choice, 2 points for the third choice and 1 point for the fourth choice, how many points H h 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 f 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 seco 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?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
HTMA H T
MATH | A M
A MHT TH
THAM MA
First Choice
Second Choice
Third Choice
Fourth Choice
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 choice, how many points T have
received?
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 HTMA H T MATH | A M A MHT TH THAM MA First Choice Second Choice Third Choice Fourth Choice 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 choice, how many points T have received? 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?
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