The results of an election are summarized in the preference table below. Using the plurality-with-elimination method of voting, determine the winner.
A)A
B)D
C)C

Question

The results of an election are summarized in the preference table below.  Using the plurality-with-elimination method of voting, determine the winner.
A)A 
B)D 
C)C

Quizplus · Accepted Answer

Using the plurality-with-elimination method, we need to eliminate the candidate with the least number of first-place votes and redistribute their votes to the remaining candidates.

First round:
Candidate A has 10 first-place votes
Candidate B has 8 first-place votes
Candidate C has 2 first-place votes
Candidate D has 5 first-place votes

Since candidate C has the least number of first-place votes, we eliminate them and redistribute their votes to the remaining candidates.

Second round:
Candidate A still has 10 first-place votes
Candidate B now has 8+2=10 first-place votes
Candidate D still has 5 first-place votes

Now we compare the first-place votes of the remaining candidates. Candidate A and B are tied with 10 votes each, while candidate D has 5 votes. Therefore, we eliminate candidate D and redistribute their votes to the remaining candidates.

Third round:
Candidate A still has 10+5=15 votes
Candidate B now has 10+0=10 votes

Now we can see that candidate A has the majority of votes and is therefore the winner.

The Results of an Election Are Summarized in the Preference