Table 22-3
The citizens of Anytown will decide whether to build a new library, a new community center, or a new ice rink. Exactly one of the three choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized in the table below.

-Refer to Table 22-3.Which of the following statements is correct?
A) In a pairwise election, "library" beats "ice rink."
B) In a pairwise election, "ice rink" beats "community center."
C) In a pairwise election, "library" beats "community center."
D) All of the above are correct.

Question

Table 22-3
The citizens of Anytown will decide whether to build a new library, a new community center, or a new ice rink. Exactly one of the three choices will prevail, and the choice will be made by way of pairwise voting, with the majority determining the outcome on each vote. The preferences of the voters are summarized in the table below.
 
-Refer to Table 22-3.Which of the following statements is correct?
A) In a pairwise election, "library" beats "ice rink." 
B) In a pairwise election, "ice rink" beats "community center." 
C) In a pairwise election, "library" beats "community center." 
D) All of the above are correct.

Quizplus · Accepted Answer

In a pairwise election, "library" beats "community center," since it has 55 votes compared to the community center's 45 votes. "Ice rink" beats "library" with 60 votes compared to the library's 40 votes. However, "community center" beats "ice rink" with 55 votes compared to the ice rink's 45 votes. Therefore, the best choice would be to build a new library.

Table 22-3 the Citizens of Anytown Will Decide Whether to Build a Build