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

question 8

Multiple Choice

Use the following information to answer the Questions
Consider an 11-member committee that must choose one of three alternatives: X, Y, or Z. Their schedule of preferences is shown below. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Number of voters }$

$\begin{array} { l c c c } & 5 & 4 & 2 \\\text { First choice } & \mathrm { Z } & \mathrm { X } & \mathrm { Y } \\\text { Second choice } & \mathrm { Y } & \mathrm { Y } & \mathrm { X } \\\text { Third choice } & \mathrm { X } & \mathrm { Z } & \mathrm { Z }\end{array}$
-Is there an agenda for which X would win under sequential pairwise voting?

• A) yes, X Y Z
• B) yes, Y Z X
• C) yes, Z Y X
• D) no