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A 17-Member Committee Must Elect One of Four Candidates: R \quad

question 94

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A 17-member committee must elect one of four candidates: R, S, T, or W. Their preference schedule is shown below. Which candidate wins under pairwise sequential voting with the agenda S, T, W, R? \quad \quad \quad \quad \quad \quad Number of members \text { Number of members }
643 First choice RST Second choice SRS Third choice TTR Fourth choice WWW\begin{array}{lccc}&6&4&3\\\text { First choice } & \mathrm{R} & \mathrm{S} & \mathrm{T} \\\text { Second choice } & \mathrm{S} & \mathrm{R} & \mathrm{S} \\\text { Third choice } & \mathrm{T} & \mathrm{T} & \mathrm{R} \\\text { Fourth choice } & \mathrm{W} & \mathrm{W} & \mathrm{W}\end{array}


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