$$\begin{array}{l}
\text { The results of an election are summarized in the following preference table. }\
\begin{array} { l | l l l l }
\text { Number of votes } & 5 & 10 & 12 & 8 \
\hline \text { First choice } & \mathrm { Q } & \mathrm { R } & \mathrm { P } & \mathrm { Q } \
\text { Second choice } & \mathrm { R } & \mathrm { Q } & \mathrm { R } & \mathrm { P } \
\text { Third choice } & \mathrm { P } & \mathrm { P } & \mathrm { Q } & \mathrm { R }
\end{array}
\end{array}$$ (a) Determine the winner using the Borda method of voting. (b) Is the winner the same as the one determined by the plurality method?

Question

$$\begin{array}{l}
\text { The results of an election are summarized in the following preference table. }\
\begin{array} { l | l l l l } 
\text { Number of votes } & 5 & 10 & 12 & 8 \
\hline \text { First choice } & \mathrm { Q } & \mathrm { R } & \mathrm { P } & \mathrm { Q } \
\text { Second choice } & \mathrm { R } & \mathrm { Q } & \mathrm { R } & \mathrm { P } \
\text { Third choice } & \mathrm { P } & \mathrm { P } & \mathrm { Q } & \mathrm { R }
\end{array}
\end{array}$$ (a) Determine the winner using the Borda method of voting. (b) Is the winner the same as the one determined by the plurality method?

Quizplus · Accepted Answer

The Answer of $$\begin{array}{l}
\text { The results of an election are summarized in the following preference table. }\
\begin{array} { l | l l l l } 
\text { Number of votes } & 5 & 10 & 12 & 8 \
\hline \text { First choice } & \mathrm { Q } & \mathrm { R } & \mathrm { P } & \mathrm { Q } \
\text { Second choice } & \mathrm { R } & \mathrm { Q } & \mathrm { R } & \mathrm { P } \
\text { Third choice } & \mathrm { P } & \mathrm { P } & \mathrm { Q } & \mathrm { R }
\end{array}
\end{array}$$ (a) Determine the winner using the Borda method of voting. (b) Is the winner the same as the one determined by the plurality method?

(A) Determine the Winner Using the Borda Method of Voting