Make a Preference Table for the Given Voting Situation Determine the Winner Using the Plurality Method and If the Mathematics

question 35

Multiple Choice

Make a preference table for the given voting situation.
-The Mathematics Department is holding an election for department chair. Each member ranks the Candidates from first to third. The preference table below shows the results of the ballots with Candidates Clark (C) , Jones (J) , and Smith (S) . $$\begin{array} { l l l l l } \hline \text { Number of Votes } & 7 & 10 & 4 & 8 \\\hline \text { First } & \mathrm { J } & \mathrm { S } & \mathrm { J } & \mathrm { C } \\\text { Second } & \mathrm { S } & \mathrm { J } & \mathrm { C } & \mathrm { S } \\\text { Third } & \mathrm { C } & \mathrm { C } & \mathrm { S } & \mathrm { J } \\\hline\end{array}$$
Determine the winner using the plurality method and if the winner received a majority of first Place votes.

• A) Clark; No
• B) Jones; No
• C) Clark; Yes
• D) Smith; Yes

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