Suppose 8 candidates a, b, c, d, e, f, g, h are involved in a Pairwise Comparison Method election. The number of pairwise comparisons each candidate wins is shown in the table. $$\begin{array} { l | l l l l l l l l l }
\text { Candidate } & \mathrm { a } & \mathrm { b } & \mathrm { c } & \mathrm { d } & \mathrm { e } & \mathrm { f } & \mathrm { g } & \mathrm { h } \
\hline \text { Number of Pairwise Comparisons Won } & 4 & 5 & ? & 3 & 4 & 2 & 1 & 4
\end{array}$$ How many comparisons does candidate c win?
A)5
B)4
C)3
D)6

Question

Suppose 8 candidates a, b, c, d, e, f, g, h are involved in a Pairwise Comparison Method election. The number of pairwise comparisons each candidate wins is shown in the table. $$\begin{array} { l | l l l l l l l l l } 
\text { Candidate } & \mathrm { a } & \mathrm { b } & \mathrm { c } & \mathrm { d } & \mathrm { e } & \mathrm { f } & \mathrm { g } & \mathrm { h } \
\hline \text { Number of Pairwise Comparisons Won } & 4 & 5 & ? & 3 & 4 & 2 & 1 & 4
\end{array}$$ How many comparisons does candidate c win?
A)5
B)4
C)3
D)6

Quizplus · Accepted Answer

In a pairwise comparison method with 8 candidates, each candidate competes against 7 others, resulting in a total of 28 comparisons. The sum of comparisons won by all candidates should equal 28. Given the numbers for other candidates, candidate c must win 5 comparisons to make the total 28.

Suppose 8 Candidates A, B, C, D, E, F, G