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Question

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Explanation:

Transcribe and analyze individual ballots

Using the Ballot Analysis knowledge point
We analyze the 14 individual ballots to determine the preference ranking of each voter:

  • Ballot 1: 1st: T, 2nd: L, 3rd: E (T > L > E)
  • Ballot 2: 1st: T, 2nd: E, 3rd: L (T > E > L)
  • Ballot 3: 1st: T, 2nd: E, 3rd: L (T > E > L)
  • Ballot 4: 1st: L, 2nd: E, 3rd: T (L > E > T)
  • Ballot 5: 1st: E, 2nd: L, 3rd: T (E > L > T)
  • Ballot 6: 1st: T, 2nd: L, 3rd: E (T > L > E)
  • Ballot 7: 1st: E, 2nd: L, 3rd: T (E > L > T)
  • Ballot 8: 1st: E, 2nd: T, 3rd: L (E > T > L)
  • Ballot 9: 1st: L, 2nd: E, 3rd: T (L > E > T)
  • Ballot 10: 1st: E, 2nd: T, 3rd: L (E > T > L)
  • Ballot 11: 1st: T, 2nd: L, 3rd: E (T > L > E)
  • Ballot 12: 1st: E, 2nd: L, 3rd: T (E > L > T)
  • Ballot 13: 1st: L, 2nd: E, 3rd: T (L > E > T)
  • Ballot 14: 1st: T, 2nd: E, 3rd: L (T > E > L)

Group identical preference rankings

Using the Preference Schedules knowledge point
We group the ballots by their preference order and count the occurrences:

  • T > L > E: Ballots 1, 6, 11 (3 votes)
  • T > E > L: Ballots 2, 3, 14 (3 votes)
  • L > E > T: Ballots 4, 9, 13 (3 votes)
  • E > L > T: Ballots 5, 7, 12 (3 votes)
  • E > T > L: Ballots 8, 10 (2 votes)

Total votes: \(3 + 3 + 3 + 3 + 2 = 14\).

Answer:

Number of votes33332
Second choiceLEELT
Third choiceELTTL