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

question 16

Short Answer

$$\begin{array}{l}\text { The results of an election are summarized in the following preference table. }\\\begin{array} { l | c c c } \text { Number of votes } & 21 & 10 & 10 \\\hline \text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { X } \\\text { Second choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Y } \\\text { Third choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { Z }\end{array}\end{array}$$ (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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