Twenty-Nine Voters Must Choose from Among Three Alternatives: A, B $\quad$

question 45

Multiple Choice

Twenty-nine voters must choose from among three alternatives: A, B, and C. The voters' preference schedules are shown below. C wins in a Borda count. Is the outcome different in a rank system that assigns five points for first choice, two points for second, and one point for third? $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Number of voters}$
$\begin{array} { l c c c c } & 12 & 8 & 6 & 3 \\\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { C } \\\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { B } \\\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { A }\end{array}$

• A) No, C still wins.
• B) Yes, A now wins.
• C) Yes, B now wins.
• D) Yes, now there is no winner.

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Definitions:

Not Equal To

A comparison operator used in programming and database queries to check if two values are different.

Currency

A system of money in common use, especially in a nation.

PaymentAmt

A variable name, often used in coding to represent the amount of payment in financial transactions.

Number

A basic data type used in programming and mathematics, representing integers, floating point values, or other numeric forms.