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

Question

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

Quizplus · Accepted Answer

Sequential pairwise voting would start with a vote between X and Y, which Y would win with 9 votes to 2. Then, Y would face Z and win with 9 votes to 2. Therefore, X would never win under sequential pairwise voting.

Use the Following Information to Answer the Questions \quad

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