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Use the Following Information to Answer the Questions:
Consider \quad

Question 27

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Use the following information to answer the Questions:
Consider an 11-member committee that must choose one of three alternatives
-X, Y, or Z- using the Hare system. Their schedule of preferences is shown below. \quad \quad \quad \quad \quad \quad Number of voters \text { Number of voters }
542 First choice ZXY Second choice YYX Third choice XZZ\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}
-The committee suspects that the group of five plans to insincerely reorder their preferences as Y, Z, X. How can the group of four respond? \quad \quad \quad \quad \quad \quad Number of voters \text { Number of voters }
542 First choice ZXY Second choice YYX Third choice XZZ\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}

Correct Answer:

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If the group of five exchanges...

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