A group of 12 students have to decide among three types of pizza: sausage (S), sushroom (M), and seef (B). Their preference rankings are shown below. Which choice will the group make if they use sequential pairwise voting with agenda B, M, S? $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of students }$
$\begin{array} { l l l l l l }
& 3 & 3 & 2 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } & \mathrm { S } \
\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } \
\text { Third choice } & \mathrm { S } & \mathrm { S } & \mathrm { B } & \mathrm { M } & \mathrm { M }
\end{array}$

Question

A group of 12 students have to decide among three types of pizza: sausage (S), sushroom (M), and seef (B). Their preference rankings are shown below. Which choice will the group make if they use sequential pairwise voting with agenda B, M, S? $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of students }$
$\begin{array} { l l l l l l } 
& 3 & 3 & 2 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } & \mathrm { S } \
\text { Second choice } & \mathrm { M } & \mathrm { B } & \mathrm { M } & \mathrm { S } & \mathrm { B } \
\text { Third choice } & \mathrm { S } & \mathrm { S } & \mathrm { B } & \mathrm { M } & \mathrm { M }
\end{array}$

Quizplus · Accepted Answer

In the first round of voting between B and M, B wins with 7 votes (3+2+2) against M's 5 votes (3+2). In the second round, B faces S, and B wins again with 7 votes (3+2+2) against S's 5 votes (2+2+1, with the 1 coming from the M voters' second choice). Therefore, the group chooses B (seef) pizza.

A Group of 12 Students Have to Decide Among Three \quad

A Group of 12 Students Have to Decide Among Three $\quad$