Answer
Since Professor Freud received the most points, Professor Freud is declared the new division chair using the Borda count method.
Work Step by Step
With the Borda count method, each candidate receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The candidate who receives the most points is declared the winner.
We can find the total points for each candidate.
Darwin: 4(30) + 3(0) + 2(2) + 1(22+20+12) = 178 points
Einstein: 4(22) + 3(20+12) + 2(0) + 1(30+2) = 216 points
Freud: 4(20) + 3(22+2) + 2(30+12) + 1(0) = 236 points
Hawking: 4(12+2) + 3(30) + 2(22+20) + 1(0) = 230 points
Since Professor Freud received the most points, Professor Freud is declared the new division chair using the Borda count method.
