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

question 50

Short Answer

 The results of an election are summarized in the following preference table.  Number of votes 510128 First choice QRPQ Second choice RQRP Third choice PPQR\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?

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