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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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