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

Essay

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$$\quad$$\text { Number of voters }$
$\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}$
-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$$\quad$$\text { Number of voters }$
$\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}$