Solve the Problem Determine the Winner Using the Borda Count Method and State

Multiple Choice

Solve the problem.
-The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The voter profile below shows the results of the ballots with
Candidates Clark (C) , Jones (J) , and Smith (S) . $\begin{array} { c | l } \text { Number of Voters } & \text { Ranking } \\\hline 7 & \mathrm {~J} > \mathrm { S } > \mathrm { C } \\10 & \mathrm {~S} > \mathrm { J } > \mathrm { C } \\4 & \mathrm {~J} > \mathrm { C } > \mathrm { S } \\8 & \mathrm { C } > \mathrm { S } > \mathrm { J }\end{array}$
Determine the winner using the Borda count method and state whether the winner received a
Majority of votes.

A) Smith; yes
B) Jones; no
C) Smith; no
D) Jones; yes