Answer: 1st: Holly, 2nd: George, 3rd: James, 4th: Inez


   

# of Voters

 

Place

13 12 10
1st G I J
2nd H H G
3rd J J H
4th I G I

Under the Borda Count Method (with 4 candidates), each first place vote is worth 4 points, each second place vote is worth 3 points, each third place vote is worth 2 points, and each fourth place vote is worth 1 point.

George (G) got 13 first place votes (4 pts. each), 10 second place votes (3 pts. each), 0 third place votes (2 pts. each), 12 fourth place votes (1 pt. each).
Inez (I) got 12 first place votes (4 pts. each), 0 second place votes (3 pts. each), 0 third place votes (2 pts. each), 23 fourth place votes (1 pt. each).
James (J) got 10 first place votes (4 pts. each), 0 second place votes (3 pts. each), 25 third place votes (2 pts. each), 0 fourth place votes (1 pt. each).
Holly (H) got 0 first place votes (4 pts. each), 25 second place votes (3 pts. each), 10 third place votes (2 pts. each), 0 fourth place votes (1 pt. each).

Under Extended Borda Count, the candidates are ranked by their Borda Count totals:

George (G): 13(4) + 10(3) + 0(2) + 12(1) = 52 + 30 + 0 + 12 = 94
Inez (I): 12(4) + 0(3) + 0(2) + 23(1) = 48 + 0 + 0 + 23 = 71
James (J)
: 10(4) + 0(3) + 25(2) + 0(1) = 40 + 0 + 50 + 0 = 90
Holly (H)
: 0(4) + 25(3) + 10(2) + 0(1) = 0 + 75 + 20 + 0 = 95

So, the Extended Rankings are:

First place: Holly (H)
Second place: George (G)
Third place: James (J)
Fourth place: Inez (I)

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