1. **State the problem:** We have an election with 4 candidates (A, B, C, D) and voters' preferences distributed as given. We need to find (a) the winner of the election and (b) the complete ranking of the candidates. 2. **Method:** We use the Borda count method, which assigns points based on ranking: 1st place = 4 points, 2nd place = 3 points, 3rd place = 2 points, 4th place = 1 point. 3. **Calculate points for each candidate:** - For each column, multiply the number of voters by the points assigned to the candidate's position. 4. **Points calculation:** - Column 1 (25 voters): A(1st)=4, D(2nd)=3, B(3rd)=2, C(4th)=1 Points: A=25*4=100, D=25*3=75, B=25*2=50, C=25*1=25 - Column 2 (14 voters): C(1st)=4, B(2nd)=3, D(3rd)=2, A(4th)=1 Points: C=14*4=56, B=14*3=42, D=14*2=28, A=14*1=14 - Column 3 (11 voters): B(1st)=4, A(2nd)=3, D(3rd)=2, C(4th)=1 Points: B=11*4=44, A=11*3=33, D=11*2=22, C=11*1=11 - Column 4 (7 voters): D(1st)=4, C(2nd)=3, A(3rd)=2, B(4th)=1 Points: D=7*4=28, C=7*3=21, A=7*2=14, B=7*1=7 - Column 5 (5 voters): B(1st)=4, A(2nd)=3, C(3rd)=2, D(4th)=1 Points: B=5*4=20, A=5*3=15, C=5*2=10, D=5*1=5 - Column 6 (1 voter): B(1st)=4, C(2nd)=3, D(3rd)=2, A(4th)=1 Points: B=1*4=4, C=1*3=3, D=1*2=2, A=1*1=1 5. **Sum points for each candidate:** - A: 100 + 14 + 33 + 14 + 15 + 1 = 177 - B: 50 + 42 + 44 + 7 + 20 + 4 = 167 - C: 25 + 56 + 11 + 21 + 10 + 3 = 126 - D: 75 + 28 + 22 + 28 + 5 + 2 = 160 6. **Determine winner:** Candidate A has the highest total points (177), so A is the winner. 7. **Complete ranking:** Order candidates by points descending: A (177), B (167), D (160), C (126). **Final answers:** (a) Winner: Candidate A (b) Ranking: A, B, D, C