Step 1: Extract Information from the Image

Borda Count Method

The Borda count method assigns points to each rank for each candidate. Here are the steps:

1. Assign points to the ranks. If there are 4 options, the first place gets 4 points, the second place gets 3 points, the third place gets 2 points, and the fourth place gets 1 point.
2. Multiply the number of ballots for each preference order by the points assigned to each rank.
3. Add up the total points for each option.

Preferences Table (Based on the Image):

• Options: Housing (H), Library (L), Theater (T), Fitness Center (F)
• Preferences:
  • 12 ballots: T > L > H > F
  • 18 ballots: L > T > F > H
  • 4 ballots: H > L > F > T
  • 22 ballots: H > F > L > T
  • 10 ballots: F > L > H > T
  • 2 ballots: T > F > L > H

Step 2: Apply the Borda Count

Step 3: Determine the Winner

• Library (L) has the highest total points: 232.
• The selected option is Library (L).

Problem Solving Method

The correct answer is A. Be Systematic, as this method involves systematically assigning points and calculating totals.

Would you like me to break this down further or explain any step?

Follow-Up Questions:

1. What are the advantages of using the Borda count method compared to other voting systems?
2. How can the Borda count method fail in cases with strongly polarized preferences?
3. Could the result change if one group of voters abstained? How?
4. How does the number of candidates affect the complexity of the Borda count?
5. What other problem-solving methods could apply to similar decision-making scenarios?

Tip:

Always double-check your calculations for each candidate to avoid minor errors in ranking tallies!