Consider a 13-person committee that is considering three applicants-A, B, and C-for an opening. The individual rankings are summarized in the table below. Which applicant would be accepted if the committee used the Borda count? $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of members }$
$\begin{array} { l l c c c }
& 5 & 4 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { A } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { B }
\end{array}$

Question

Consider a 13-person committee that is considering three applicants-A, B, and C-for an opening. The individual rankings are summarized in the table below. Which applicant would be accepted if the committee used the Borda count? $ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$ \quad$$\text { Number of members }$
$\begin{array} { l l c c c } 
& 5 & 4 & 2 & 2 \
\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { A } \
\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { B }
\end{array}$

Quizplus · Accepted Answer

To determine the winner using Borda count, we assign points to each applicant based on their rank. The first choice is assigned 3 points, the second choice 2 points, and the third choice 1 point. We then sum up the points for each applicant to find the overall score.

For Applicant A: $5*1+2*2+2*3=13$
For Applicant B: $4*3+2*1+2*2=16$
For Applicant C: $2*2+4*2+2*1=14$

Therefore, Applicant B has the highest overall score and would be the winner if the committee used the Borda count.

Consider a 13-Person Committee That Is Considering Three Applicants-A, B \quad

Consider a 13-Person Committee That Is Considering Three Applicants-A, B $\quad$