Answer
Originally Candidate B was selected as the winner. After one of the losing candidates, Candidate C, drops out, Candidate B is not selected as the winner. Therefore, the irrelevant alternatives criterion is not satisfied.
Work Step by Step
With the plurality method, the candidate with the highest number of first-place votes is selected as the winner. We can find the number of first-place votes for each candidate.
Candidate A: 45
Candidate B: 90
Candidate C: 75
Since Candidate B has the highest number of first-place votes, Candidate B is selected as the winner using the plurality method.
After Candidate C drops out, we can go through the plurality method again. Note that every other candidate below Candidate C on a ballot moves up one spot on that ballot. We can find the number of first-place votes for each candidate.
Candidate A: 45 + 75 = 120
Candidate B: 90
Since Candidate A has the highest number of first-place votes, Candidate A is selected as the winner using the plurality method.
Originally, Candidate B was selected as the winner. After one of the losing candidates, Candidate C, drops out, Candidate B is not selected as the winner. Therefore, the irrelevant alternatives criterion is not satisfied.
