Table 23 - 2 Suppose a Town Is to Vote on Three Possible Locations

question 45

Multiple Choice

Table 23 - 2
$\begin{array}{|l|l|l|l|}\hline&&\text { Voter Type }\\\hline &\text { Type 1 } & \text { Type 2 } & \text { Type 3 } \\\hline \% \text { of electorate }&35 & 45 & 20 \\\hline 1^{\text {st }} \text { choice }&\text { C } & \text { A } & \text { B } \\\hline 2^{\text {nd }} \text { choice }&\text { A } & \text { B } & \text { C } \\\hline 3^{\mathrm{rd}} \text { choice }&\text { B } & \text { C } & \text { A } \\\hline\end{array}$ Suppose a town is to vote on three possible locations for a new park: A, B, or C.The preferences are in table 23-2.Suppose the mayor decides on the following Borda count voting scheme: For each option, we will give one point for last place, two points for second last, and three points for the third last etc.The outcome with the most points is the winner.
-Refer to the information provided.Suppose option B is no longer an alternative.The winner of this Borda count will be:

• A) optinan A
• B) aption \(B\)
• C) aption C
• D) a tie between aption \(A\) and \(C\)

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Definitions:

Categorical Syllogism

A logical argument that derives a conclusion from two statements, asserting or denying something about a category.

Mood

In logic, the structure of a categorical syllogism based on the type of categorical propositions it contains (e.g., AAA, EAE).

Figure

A numerical symbol, especially one that represents a statistic or part of a calculation.

Middle Term

In a syllogism, the middle term is the term that appears in both premises but not in the conclusion, serving as a link between the two other terms.