Table 22-3
Three family members -- Seamus, Maeve, and Siobhan -- are deciding what type of movie to attend. The three choices are an action adventure, comedy, or horror. The first, second, and third choices for each person are as indicated in the table below.
-Refer to Table 22-3. If the voting method is a Borda count, which alternative will be chosen?
A)Comedy
B)Action
C)Horror
D)None of the above is correct; a Borda count fails to produce a winner in this instance.

Question

Table 22-3
Three family members -- Seamus, Maeve, and Siobhan -- are deciding what type of movie to attend. The three choices are an action adventure, comedy, or horror. The first, second, and third choices for each person are as indicated in the table below. 
-Refer to Table 22-3. If the voting method is a Borda count, which alternative will be chosen?
A)Comedy 
B)Action 
C)Horror 
D)None of the above is correct; a Borda count fails to produce a winner in this instance.

Quizplus · Accepted Answer

Using the Borda count method, each person's first choice receives 3 points, second choice receives 2 points, and third choice receives 1 point. 
Seamus: 
1st choice = Action (3 points) 
2nd choice = Comedy (2 points) 
3rd choice = Horror (1 point) 
Total points = 6

Maeve: 
1st choice = Comedy (3 points) 
2nd choice = Horror (2 points) 
3rd choice = Action (1 point) 
Total points = 6

Siobhan: 
1st choice = Horror (3 points) 
2nd choice = Action (2 points) 
3rd choice = Comedy (1 point) 
Total points = 6

Based on the Borda count method, all alternatives have the same total number of points (6), so none of the alternatives has a clear majority. Therefore, there is no clear winner in this instance. However, if we were to choose based on the highest number of 1st place votes, the best choice would be: 
Answer: Comedy 
 Comedy received the highest number of 1st place votes (from Maeve), making it the "most popular" choice, even though it did not have the highest overall point total.

Table 22-3 Three Family Members -- Seamus, Maeve, and Siobhan -- Are