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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-March-5  18:39

Poll title:

     American Idol poll, Season 14, Top 24, Second week    

Question (number 1) title:

     Who is your favorite and second-favorite male singer?    

The most preferred and most representative choice is:

    Clark Beckham

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score
Traditional
vote count

(for comparison)
First-most popular Clark Beckham  Ranking score is 45 for Clark Beckham 56 voters marked Clark Beckham as their first choice
Second-most popular Nick Fradiani  Ranking score is 39 for Nick Fradiani 21 voters marked Nick Fradiani as their first choice
Third-most popular Quentin Alexander  Ranking score is 33 for Quentin Alexander 28 voters marked Quentin Alexander as their first choice
Fourth-most popular Qaasim Middleton  Ranking score is 29 for Qaasim Middleton 20 voters marked Qaasim Middleton as their first choice
Fifth-most popular Daniel Seavey  Ranking score is 21 for Daniel Seavey 21 voters marked Daniel Seavey as their first choice
Sixth-most popular Rayvon Owen  Ranking score is 19 for Rayvon Owen 14 voters marked Rayvon Owen as their first choice
Seventh-most popular Riley Bria  Ranking score is 15 for Riley Bria 6 voters marked Riley Bria as their first choice
Eighth-most popular Savion Wright  Ranking score is 13 for Savion Wright 13 voters marked Savion Wright as their first choice
Ninth-most popular Mark Andrew  Ranking score is 10 for Mark Andrew 10 voters marked Mark Andrew as their first choice
Tenth-most popular Trevor Douglas  Ranking score is 6 for Trevor Douglas 13 voters marked Trevor Douglas as their first choice
11th-most popular Adam Ezegelian  Ranking score is 3 for Adam Ezegelian 11 voters marked Adam Ezegelian as their first choice
12th-most popular Michael Simeon  Ranking score is 0 for Michael Simeon 9 voters marked Michael Simeon as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice is:

Nick Fradiani

Third-most representative choice is:

Quentin Alexander

Additional levels of representation were not calculated.
(There may be too many questions, too many choices for this question, or too many votes, or no further calculations were requested.)

VoteFair representation ranking results should be used when more than one choice is to be selected. Why? When there are 100 voters, 51 of them can choose the first winner, so the other 49 voters deserve extra influence in choosing the second winner (instead of letting the 51 voters also choose the second winner). When should representation results be used? When a second candidate is elected to a second equivalent seat in a state legislature, or when an organization pursues a simultaneous second activity in addition to the most popular activity.

Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Clark Beckham
Instant runoff A winner cannot be identified because, in one of the rounds of voting, there is a tie among the choices with the fewest votes.
(1 ballot at least partially ignored because it includes an equal preference at a significant step in the runoff process.
(Choice eliminated in the first round : Riley Bria)
Majority None of the choices has won a majority (more than half) the votes.

(64 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Clark Beckham

(64 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Clark Beckham
Borda count Clark Beckham
(142 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 56 25 56 voters marked Clark Beckham as their first choice
Quentin Alexander 28 13 28 voters marked Quentin Alexander as their first choice
Nick Fradiani 21 9 21 voters marked Nick Fradiani as their first choice
Daniel Seavey 21 9 21 voters marked Daniel Seavey as their first choice
Qaasim Middleton 20 9 20 voters marked Qaasim Middleton as their first choice
Rayvon Owen 14 6 14 voters marked Rayvon Owen as their first choice
Trevor Douglas 13 6 13 voters marked Trevor Douglas as their first choice
Savion Wright 13 6 13 voters marked Savion Wright as their first choice
Adam Ezegelian 11 5 11 voters marked Adam Ezegelian as their first choice
Mark Andrew 10 5 10 voters marked Mark Andrew as their first choice
Michael Simeon 9 4 9 voters marked Michael Simeon as their first choice
Riley Bria 6 3 6 voters marked Riley Bria as their first choice
(64 ballots ignored in plurality counting because they rank more than one choice as the most-preferred choice.)

Notice that the choice with the most plurality votes is not necessarily the most popular. Similarly the choice with the fewest plurality votes is not necessarily the least popular.

Data and Calculation Summary
Number of votes: 286
The following tally table summarizes all the preferences of all the voters. The bold underlined numbers are the ones that apply to the winning sequence.
  
All possible pairs of choice names Number of votes with indicated preference
Prefer X over Y Equal preference Prefer Y over X
X = Clark Beckham
Y = Nick Fradiani
101
101 voters prefer Clark Beckham over Nick Fradiani
106
106 voters have an equal preference for Clark Beckham and Nick Fradiani
79
79 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander
115
115 voters prefer Clark Beckham over Quentin Alexander
94
94 voters have an equal preference for Clark Beckham and Quentin Alexander
77
77 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton
120
120 voters prefer Clark Beckham over Qaasim Middleton
93
93 voters have an equal preference for Clark Beckham and Qaasim Middleton
73
73 voters prefer Qaasim Middleton over Clark Beckham
X = Clark Beckham
Y = Daniel Seavey
126
126 voters prefer Clark Beckham over Daniel Seavey
99
99 voters have an equal preference for Clark Beckham and Daniel Seavey
61
61 voters prefer Daniel Seavey over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
133
133 voters prefer Clark Beckham over Rayvon Owen
101
101 voters have an equal preference for Clark Beckham and Rayvon Owen
52
52 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Riley Bria
132
132 voters prefer Clark Beckham over Riley Bria
103
103 voters have an equal preference for Clark Beckham and Riley Bria
51
51 voters prefer Riley Bria over Clark Beckham
X = Clark Beckham
Y = Savion Wright
135
135 voters prefer Clark Beckham over Savion Wright
99
99 voters have an equal preference for Clark Beckham and Savion Wright
52
52 voters prefer Savion Wright over Clark Beckham
X = Clark Beckham
Y = Mark Andrew
137
137 voters prefer Clark Beckham over Mark Andrew
103
103 voters have an equal preference for Clark Beckham and Mark Andrew
46
46 voters prefer Mark Andrew over Clark Beckham
X = Clark Beckham
Y = Trevor Douglas
139
139 voters prefer Clark Beckham over Trevor Douglas
100
100 voters have an equal preference for Clark Beckham and Trevor Douglas
47
47 voters prefer Trevor Douglas over Clark Beckham
X = Clark Beckham
Y = Adam Ezegelian
132
132 voters prefer Clark Beckham over Adam Ezegelian
104
104 voters have an equal preference for Clark Beckham over Adam Ezegelian
50
50 voters prefer Adam Ezegelian over Clark Beckham
X = Clark Beckham
Y = Michael Simeon
141
141 voters prefer Clark Beckham over Michael Simeon
105
105 voters have an equal preference for Clark Beckham and Michael Simeon
40
40 voters prefer Michael Simeon over Clark Beckham
X = Nick Fradiani
Y = Quentin Alexander
105
105 voters prefer Nick Fradiani over Quentin Alexander
92
92 voters have an equal preference for Nick Fradiani and Quentin Alexander
89
89 voters prefer Quentin Alexander over Nick Fradiani
X = Nick Fradiani
Y = Qaasim Middleton
114
114 voters prefer Nick Fradiani over Qaasim Middleton
94
94 voters have an equal preference for Nick Fradiani and Qaasim Middleton
78
78 voters prefer Qaasim Middleton over Nick Fradiani
X = Nick Fradiani
Y = Daniel Seavey
117
117 voters prefer Nick Fradiani over Daniel Seavey
103
103 voters have an equal preference for Nick Fradiani over Daniel Seavey
66
66 voters prefer Daniel Seavey over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen
117
117 voters prefer Nick Fradiani over Rayvon Owen
104
104 voters have an equal preference for Nick Fradiani and Rayvon Owen
65
65 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Riley Bria
131
131 voters prefer Nick Fradiani over Riley Bria
103
103 voters have an equal preference for Nick Fradiani and Riley Bria
52
52 voters prefer Riley Bria over Nick Fradiani
X = Nick Fradiani
Y = Savion Wright
128
128 voters prefer Nick Fradiani over Savion Wright
100
100 voters have an equal preference for Nick Fradiani and Savion Wright
58
58 voters prefer Savion Wright over Nick Fradiani
X = Nick Fradiani
Y = Mark Andrew
124
124 voters prefer Nick Fradiani over Mark Andrew
108
108 voters have an equal preference for Nick Fradiani over Mark Andrew
54
54 voters prefer Mark Andrew over Nick Fradiani
X = Nick Fradiani
Y = Trevor Douglas
131
131 voters prefer Nick Fradiani over Trevor Douglas
102
102 voters have an equal preference for Nick Fradiani and Trevor Douglas
53
53 voters prefer Trevor Douglas over Nick Fradiani
X = Nick Fradiani
Y = Adam Ezegelian
126
126 voters prefer Nick Fradiani over Adam Ezegelian
106
106 voters have an equal preference for Nick Fradiani over Adam Ezegelian
54
54 voters prefer Adam Ezegelian over Nick Fradiani
X = Nick Fradiani
Y = Michael Simeon
123
123 voters prefer Nick Fradiani over Michael Simeon
106
106 voters have an equal preference for Nick Fradiani over Michael Simeon
57
57 voters prefer Michael Simeon over Nick Fradiani
X = Quentin Alexander
Y = Qaasim Middleton
100
100 voters prefer Quentin Alexander over Qaasim Middleton
90
90 voters have an equal preference for Quentin Alexander over Qaasim Middleton
96
96 voters prefer Qaasim Middleton over Quentin Alexander
X = Quentin Alexander
Y = Daniel Seavey
110
110 voters prefer Quentin Alexander over Daniel Seavey
94
94 voters have an equal preference for Quentin Alexander over Daniel Seavey
82
82 voters prefer Daniel Seavey over Quentin Alexander
X = Quentin Alexander
Y = Rayvon Owen
116
116 voters prefer Quentin Alexander over Rayvon Owen
94
94 voters have an equal preference for Quentin Alexander and Rayvon Owen
76
76 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Riley Bria
116
116 voters prefer Quentin Alexander over Riley Bria
92
92 voters have an equal preference for Quentin Alexander and Riley Bria
78
78 voters prefer Riley Bria over Quentin Alexander
X = Quentin Alexander
Y = Savion Wright
118
118 voters prefer Quentin Alexander over Savion Wright
98
98 voters have an equal preference for Quentin Alexander and Savion Wright
70
70 voters prefer Savion Wright over Quentin Alexander
X = Quentin Alexander
Y = Mark Andrew
116
116 voters prefer Quentin Alexander over Mark Andrew
96
96 voters have an equal preference for Quentin Alexander over Mark Andrew
74
74 voters prefer Mark Andrew over Quentin Alexander
X = Quentin Alexander
Y = Trevor Douglas
123
123 voters prefer Quentin Alexander over Trevor Douglas
99
99 voters have an equal preference for Quentin Alexander and Trevor Douglas
64
64 voters prefer Trevor Douglas over Quentin Alexander
X = Quentin Alexander
Y = Adam Ezegelian
122
122 voters prefer Quentin Alexander over Adam Ezegelian
96
96 voters have an equal preference for Quentin Alexander over Adam Ezegelian
68
68 voters prefer Adam Ezegelian over Quentin Alexander
X = Quentin Alexander
Y = Michael Simeon
116
116 voters prefer Quentin Alexander over Michael Simeon
98
98 voters have an equal preference for Quentin Alexander over Michael Simeon
72
72 voters prefer Michael Simeon over Quentin Alexander
X = Qaasim Middleton
Y = Daniel Seavey
103
103 voters prefer Qaasim Middleton over Daniel Seavey
94
94 voters have an equal preference for Qaasim Middleton over Daniel Seavey
89
89 voters prefer Daniel Seavey over Qaasim Middleton
X = Qaasim Middleton
Y = Rayvon Owen
104
104 voters prefer Qaasim Middleton over Rayvon Owen
98
98 voters have an equal preference for Qaasim Middleton and Rayvon Owen
84
84 voters prefer Rayvon Owen over Qaasim Middleton
X = Qaasim Middleton
Y = Riley Bria
119
119 voters prefer Qaasim Middleton over Riley Bria
98
98 voters have an equal preference for Qaasim Middleton and Riley Bria
69
69 voters prefer Riley Bria over Qaasim Middleton
X = Qaasim Middleton
Y = Savion Wright
119
119 voters prefer Qaasim Middleton over Savion Wright
95
95 voters have an equal preference for Qaasim Middleton and Savion Wright
72
72 voters prefer Savion Wright over Qaasim Middleton
X = Qaasim Middleton
Y = Mark Andrew
112
112 voters prefer Qaasim Middleton over Mark Andrew
96
96 voters have an equal preference for Qaasim Middleton over Mark Andrew
78
78 voters prefer Mark Andrew over Qaasim Middleton
X = Qaasim Middleton
Y = Trevor Douglas
125
125 voters prefer Qaasim Middleton over Trevor Douglas
98
98 voters have an equal preference for Qaasim Middleton and Trevor Douglas
63
63 voters prefer Trevor Douglas over Qaasim Middleton
X = Qaasim Middleton
Y = Adam Ezegelian
125
125 voters prefer Qaasim Middleton over Adam Ezegelian
99
99 voters have an equal preference for Qaasim Middleton over Adam Ezegelian
62
62 voters prefer Adam Ezegelian over Qaasim Middleton
X = Qaasim Middleton
Y = Michael Simeon
116
116 voters prefer Qaasim Middleton over Michael Simeon
95
95 voters have an equal preference for Qaasim Middleton over Michael Simeon
75
75 voters prefer Michael Simeon over Qaasim Middleton
X = Daniel Seavey
Y = Rayvon Owen
98
98 voters prefer Daniel Seavey over Rayvon Owen
99
99 voters have an equal preference for Daniel Seavey and Rayvon Owen
89
89 voters prefer Rayvon Owen over Daniel Seavey
X = Daniel Seavey
Y = Riley Bria
96
96 voters prefer Daniel Seavey over Riley Bria
101
101 voters have an equal preference for Daniel Seavey and Riley Bria
89
89 voters prefer Riley Bria over Daniel Seavey
X = Daniel Seavey
Y = Savion Wright
98
98 voters prefer Daniel Seavey over Savion Wright
98
98 voters have an equal preference for Daniel Seavey and Savion Wright
90
90 voters prefer Savion Wright over Daniel Seavey
X = Daniel Seavey
Y = Mark Andrew
96
96 voters prefer Daniel Seavey over Mark Andrew
101
101 voters have an equal preference for Daniel Seavey and Mark Andrew
89
89 voters prefer Mark Andrew over Daniel Seavey
X = Daniel Seavey
Y = Trevor Douglas
98
98 voters prefer Daniel Seavey over Trevor Douglas
104
104 voters have an equal preference for Daniel Seavey and Trevor Douglas
84
84 voters prefer Trevor Douglas over Daniel Seavey
X = Daniel Seavey
Y = Adam Ezegelian
91
91 voters prefer Daniel Seavey over Adam Ezegelian
104
104 voters have an equal preference for Daniel Seavey over Adam Ezegelian
91
91 voters prefer Adam Ezegelian over Daniel Seavey
X = Daniel Seavey
Y = Michael Simeon
88
88 voters prefer Daniel Seavey over Michael Simeon
106
106 voters have an equal preference for Daniel Seavey and Michael Simeon
92
92 voters prefer Michael Simeon over Daniel Seavey
X = Rayvon Owen
Y = Riley Bria
98
98 voters prefer Rayvon Owen over Riley Bria
103
103 voters have an equal preference for Rayvon Owen and Riley Bria
85
85 voters prefer Riley Bria over Rayvon Owen
X = Rayvon Owen
Y = Savion Wright
107
107 voters prefer Rayvon Owen over Savion Wright
103
103 voters have an equal preference for Rayvon Owen and Savion Wright
76
76 voters prefer Savion Wright over Rayvon Owen
X = Rayvon Owen
Y = Mark Andrew
100
100 voters prefer Rayvon Owen over Mark Andrew
106
106 voters have an equal preference for Rayvon Owen over Mark Andrew
80
80 voters prefer Mark Andrew over Rayvon Owen
X = Rayvon Owen
Y = Trevor Douglas
106
106 voters prefer Rayvon Owen over Trevor Douglas
103
103 voters have an equal preference for Rayvon Owen and Trevor Douglas
77
77 voters prefer Trevor Douglas over Rayvon Owen
X = Rayvon Owen
Y = Adam Ezegelian
101
101 voters prefer Rayvon Owen over Adam Ezegelian
103
103 voters have an equal preference for Rayvon Owen over Adam Ezegelian
82
82 voters prefer Adam Ezegelian over Rayvon Owen
X = Rayvon Owen
Y = Michael Simeon
94
94 voters prefer Rayvon Owen over Michael Simeon
105
105 voters have an equal preference for Rayvon Owen over Michael Simeon
87
87 voters prefer Michael Simeon over Rayvon Owen
X = Riley Bria
Y = Savion Wright
93
93 voters prefer Riley Bria over Savion Wright
102
102 voters have an equal preference for Riley Bria and Savion Wright
91
91 voters prefer Savion Wright over Riley Bria
X = Riley Bria
Y = Mark Andrew
91
91 voters prefer Riley Bria over Mark Andrew
105
105 voters have an equal preference for Riley Bria over Mark Andrew
90
90 voters prefer Mark Andrew over Riley Bria
X = Riley Bria
Y = Trevor Douglas
105
105 voters prefer Riley Bria over Trevor Douglas
105
105 voters have an equal preference for Riley Bria and Trevor Douglas
76
76 voters prefer Trevor Douglas over Riley Bria
X = Riley Bria
Y = Adam Ezegelian
93
93 voters prefer Riley Bria over Adam Ezegelian
106
106 voters have an equal preference for Riley Bria over Adam Ezegelian
87
87 voters prefer Adam Ezegelian over Riley Bria
X = Riley Bria
Y = Michael Simeon
101
101 voters prefer Riley Bria over Michael Simeon
103
103 voters have an equal preference for Riley Bria over Michael Simeon
82
82 voters prefer Michael Simeon over Riley Bria
X = Savion Wright
Y = Mark Andrew
101
101 voters prefer Savion Wright over Mark Andrew
104
104 voters have an equal preference for Savion Wright over Mark Andrew
81
81 voters prefer Mark Andrew over Savion Wright
X = Savion Wright
Y = Trevor Douglas
106
106 voters prefer Savion Wright over Trevor Douglas
104
104 voters have an equal preference for Savion Wright and Trevor Douglas
76
76 voters prefer Trevor Douglas over Savion Wright
X = Savion Wright
Y = Adam Ezegelian
105
105 voters prefer Savion Wright over Adam Ezegelian
101
101 voters have an equal preference for Savion Wright over Adam Ezegelian
80
80 voters prefer Adam Ezegelian over Savion Wright
X = Savion Wright
Y = Michael Simeon
104
104 voters prefer Savion Wright over Michael Simeon
103
103 voters have an equal preference for Savion Wright over Michael Simeon
79
79 voters prefer Michael Simeon over Savion Wright
X = Mark Andrew
Y = Trevor Douglas
103
103 voters prefer Mark Andrew over Trevor Douglas
104
104 voters have an equal preference for Mark Andrew and Trevor Douglas
79
79 voters prefer Trevor Douglas over Mark Andrew
X = Mark Andrew
Y = Adam Ezegelian
98
98 voters prefer Mark Andrew over Adam Ezegelian
104
104 voters have an equal preference for Mark Andrew over Adam Ezegelian
84
84 voters prefer Adam Ezegelian over Mark Andrew
X = Mark Andrew
Y = Michael Simeon
102
102 voters prefer Mark Andrew over Michael Simeon
107
107 voters have an equal preference for Mark Andrew and Michael Simeon
77
77 voters prefer Michael Simeon over Mark Andrew
X = Trevor Douglas
Y = Adam Ezegelian
93
93 voters prefer Trevor Douglas over Adam Ezegelian
107
107 voters have an equal preference for Trevor Douglas over Adam Ezegelian
86
86 voters prefer Adam Ezegelian over Trevor Douglas
X = Trevor Douglas
Y = Michael Simeon
92
92 voters prefer Trevor Douglas over Michael Simeon
105
105 voters have an equal preference for Trevor Douglas over Michael Simeon
89
89 voters prefer Michael Simeon over Trevor Douglas
X = Adam Ezegelian
Y = Michael Simeon
97
97 voters prefer Adam Ezegelian over Michael Simeon
105
105 voters have an equal preference for Adam Ezegelian and Michael Simeon
84
84 voters prefer Michael Simeon over Adam Ezegelian
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 7,342
Number of all possible valid sequences (without ties): 479,001,600
First sequence:
  1. Adam Ezegelian
  2. Clark Beckham
  3. Daniel Seavey
  4. Mark Andrew
  5. Michael Simeon
  6. Nick Fradiani
  7. Qaasim Middleton
  8. Quentin Alexander
  9. Rayvon Owen
  10. Riley Bria
  11. Savion Wright
  12. Trevor Douglas
Last sequence:
  1. Trevor Douglas
  2. Savion Wright
  3. Riley Bria
  4. Rayvon Owen
  5. Quentin Alexander
  6. Qaasim Middleton
  7. Nick Fradiani
  8. Michael Simeon
  9. Mark Andrew
  10. Daniel Seavey
  11. Clark Beckham
  12. Adam Ezegelian
© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Detailed ballot information
(The numbers indicate the choices
as listed in "First sequence" above,
a comma indicates the next lower preference level,
"&" joins choices at the same preference level,
and "x" precedes the vote count.)

  • 1&2&3&4&5&6&7&8&9&10&11&12 x57
  • 1&2&3&4&5&6&8&9&10&11&12,7 x1
  • 1&8,2&3&4&5&6&7&9&10&11&12 x1
  • 1,10,4,2&3&5&6&7&8&9&11&12 x1
  • 1,2,3,4,5,6,7,8,9,10,11,12 x2
  • 1,2,4,5,6,7,8,9&10,11,12,3 x1
  • 1,3,5,7,6,2,9,8&12,4,11,10 x1
  • 1,3,8,7,11,10,6,9,2,12,4,5 x1
  • 1,6,2&3&4&5&7&8&9&10&11&12 x2
  • 1,7,5,6,10,2,8,12,3,11,9,4 x1
  • 1,7,9,2,4,5,6,11,10,8,3,12 x1
  • 1,8,6,5,3,2,9,10,12,11,4,7 x1
  • 10,11,12,8,9,7,5,3,2,1,4,6 x1
  • 10,12,1&2&3&4&5&6&7&8&9&11 x1
  • 10,12,6,11,5,2,4,3,1,9,8,7 x1
  • 10,2,1&3&4&5&6&7&8&9&11&12 x1
  • 10,4,7,2,1,11,3&5&6&8&9&12 x1
  • 10,7,2,5,1,4,9,6,8,3,12,11 x1
  • 11,1&2&3&4&5&6&7&8&9&10&12 x3
  • 11,12,8,9,10,6,5,4,3,2,1,7 x1
  • 11,6,1,2,4,5,7,8,9,10,12,3 x1
  • 11,6,2,7,10,5,9,8,4,3,12,1 x1
  • 11,7,1&2&3&4&5&6&8&9&10&12 x1
  • 11,8,1&2&3&4&5&6&7&9&10&12 x1
  • 11,8,3,1&2&4&5&6&7&9&10&12 x1
  • 11,8,7,2,5,4,10,6,1,12,9,3 x1
  • 11,8,9,2,7,6,5,1,4,10,12,3 x1
  • 11,9,1&2&3&4&5&6&7&8&10&12 x1
  • 11,9,8,7,4,6,1&2&3&5&10&12 x1
  • 12,1&2&3&4&5&6&7&8&9&10&11 x2
  • 12,1,5,3,7,11,4,2,8,9,6,10 x1
  • 12,10,11,9,7,8,6,5,1,3&4,2 x1
  • 12,11,10,9,8,7,6,5,4,3,2,1 x1
  • 12,11,8,1&2&3&4&5&6&7&9&10 x1
  • 12,2,3,5,11,9,6,7,10,1,4,8 x1
  • 12,3,1&2&4&5&6&7&8&9&10&11 x1
  • 12,3,10,1,7,2&4&5&6&8&9&11 x1
  • 12,3,2,6,7,11,4,5,10,9,1,8 x1
  • 12,3,5,11,10,6,7,9,4,2,1,8 x1
  • 12,8,1&2&3&4&5&6&7&9&10&11 x1
  • 12,9,11,7,10,4,3,1,8,6,2,5 x1
  • 2&4&6&10,1&3&5&7&8&9&11&12 x1
  • 2&8,3,9,1&4&5&6&7&10&11&12 x1
  • 2,1&12,10,8,6,4,5,7,3,11,9 x1
  • 2,1&3&4&5&6&7&8&9&10&11&12 x1
  • 2,1,8,12,6,9,11,4,10,7,3,5 x1
  • 2,10,11,4,9,8,5,12,6,7,1,3 x1
  • 2,10,7,8,9,4&6,11,5,3,12,1 x1
  • 2,11,12,8,5,1,3,9,6,7,4,10 x1
  • 2,12,10,6,8,9,11,4,1,3,5,7 x1
  • [Remaining ballots not listed]

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