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The Results of an Election Are Summarized in the Preference

question 17

Multiple Choice

The results of an election are summarized in the preference table below.
 Number of votes 51271410 First choice ZZXXY Second choice XYYZZ Third choice YXZYX\begin{array}{l|lllll}\text { Number of votes } & 5 & 12 & 7 & 14 & 10 \\\hline \text { First choice } & \mathrm{Z} & \mathrm{Z} & \mathrm{X} & \mathrm{X} & \mathrm{Y} \\\text { Second choice } & \mathrm{X} & \mathrm{Y} & \mathrm{Y} & \mathrm{Z} & \mathrm{Z} \\\text { Third choice } & \mathrm{Y} & \mathrm{X} & \mathrm{Z} & \mathrm{Y} & \mathrm{X}\end{array}

Using the plurality-with-elimination method of voting, determine the winner.


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