A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and beef (B). Their preference rankings are shown below. What is the Borda score of the beef topping? $ \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), mushroom (M), and beef (B). Their preference rankings are shown below. What is the Borda score of the beef topping? $ \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

The Borda score for beef topping is calculated by assigning points based on preference rankings: 3 points for first choice, 2 points for second choice, and 1 point for third choice. Beef is the first choice for 3+2=5 students, second choice for 3 students, and third choice for 2+2=4 students. Therefore, the Borda score for beef is (5*3) + (3*2) + (4*1) = 15 + 6 + 4 = 25.

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

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