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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-March-19  20:26

Poll title:

     American Idol poll, Season 14, Top 12    

Question (number 1) title:

     Who is your favorite and second-favorite 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 61 for Clark Beckham 47 voters marked Clark Beckham as their first choice
Second-most popular Tyanna Jones  Ranking score is 52 for Tyanna Jones 34 voters marked Tyanna Jones as their first choice
Third-most popular Jax Cole  Ranking score is 49 for Jax Cole 30 voters marked Jax Cole as their first choice
Fourth-most popular Nick Fradiani  Ranking score is 39 for Nick Fradiani 21 voters marked Nick Fradiani as their first choice
Fifth-most popular Quentin Alexander  Ranking score is 31 for Quentin Alexander 11 voters marked Quentin Alexander as their first choice
Sixth-most popular Joey Cook  Ranking score is 27 for Joey Cook 26 voters marked Joey Cook as their first choice
Seventh-most popular Rayvon Owen  Ranking score is 24 for Rayvon Owen 3 voters marked Rayvon Owen as their first choice
Eighth-most popular Sarina-Joi Crowe  Ranking score is 18 for Sarina-Joi Crowe 30 voters marked Sarina-Joi Crowe as their first choice
Ninth-most popular Adanna Duru  Ranking score is 13 for Adanna Duru 5 voters marked Adanna Duru as their first choice
Tenth-most popular Maddie Walker  Ranking score is 10 for Maddie Walker 8 voters marked Maddie Walker as their first choice
11th-most popular Qaasim Middleton  Ranking score is 5 for Qaasim Middleton 5 voters marked Qaasim Middleton as their first choice
12th-most popular Daniel Seavey  Ranking score is 0 for Daniel Seavey 5 voters marked Daniel Seavey as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice is:

Tyanna Jones

Third-most representative choice is:

Jax Cole

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.
(Choice eliminated in the first round : Rayvon Owen)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 47 21 47 voters marked Clark Beckham as their first choice
Tyanna Jones 34 15 34 voters marked Tyanna Jones as their first choice
Sarina-Joi Crowe 30 13 30 voters marked Sarina-Joi Crowe as their first choice
Jax Cole 30 13 30 voters marked Jax Cole as their first choice
Joey Cook 26 12 26 voters marked Joey Cook as their first choice
Nick Fradiani 21 9 21 voters marked Nick Fradiani as their first choice
Quentin Alexander 11 5 11 voters marked Quentin Alexander as their first choice
Maddie Walker 8 4 8 voters marked Maddie Walker as their first choice
Adanna Duru 5 2 5 voters marked Adanna Duru as their first choice
Qaasim Middleton 5 2 5 voters marked Qaasim Middleton as their first choice
Daniel Seavey 5 2 5 voters marked Daniel Seavey as their first choice
Rayvon Owen 3 1 3 voters marked Rayvon Owen as their first choice
(12 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: 237
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 = Tyanna Jones
110
110 voters prefer Clark Beckham over Tyanna Jones
39
39 voters have an equal preference for Clark Beckham and Tyanna Jones
88
88 voters prefer Tyanna Jones over Clark Beckham
X = Clark Beckham
Y = Jax Cole
123
123 voters prefer Clark Beckham over Jax Cole
35
35 voters have an equal preference for Clark Beckham and Jax Cole
79
79 voters prefer Jax Cole over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani
140
140 voters prefer Clark Beckham over Nick Fradiani
35
35 voters have an equal preference for Clark Beckham and Nick Fradiani
62
62 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander
143
143 voters prefer Clark Beckham over Quentin Alexander
36
36 voters have an equal preference for Clark Beckham and Quentin Alexander
58
58 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Joey Cook
132
132 voters prefer Clark Beckham over Joey Cook
39
39 voters have an equal preference for Clark Beckham and Joey Cook
66
66 voters prefer Joey Cook over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
151
151 voters prefer Clark Beckham over Rayvon Owen
42
42 voters have an equal preference for Clark Beckham and Rayvon Owen
44
44 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Sarina-Joi Crowe
146
146 voters prefer Clark Beckham over Sarina-Joi Crowe
32
32 voters have an equal preference for Clark Beckham and Sarina-Joi Crowe
59
59 voters prefer Sarina-Joi Crowe over Clark Beckham
X = Clark Beckham
Y = Adanna Duru
158
158 voters prefer Clark Beckham over Adanna Duru
41
41 voters have an equal preference for Clark Beckham and Adanna Duru
38
38 voters prefer Adanna Duru over Clark Beckham
X = Clark Beckham
Y = Maddie Walker
163
163 voters prefer Clark Beckham over Maddie Walker
40
40 voters have an equal preference for Clark Beckham and Maddie Walker
34
34 voters prefer Maddie Walker over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton
161
161 voters prefer Clark Beckham over Qaasim Middleton
42
42 voters have an equal preference for Clark Beckham and Qaasim Middleton
34
34 voters prefer Qaasim Middleton over Clark Beckham
X = Clark Beckham
Y = Daniel Seavey
168
168 voters prefer Clark Beckham over Daniel Seavey
38
38 voters have an equal preference for Clark Beckham and Daniel Seavey
31
31 voters prefer Daniel Seavey over Clark Beckham
X = Tyanna Jones
Y = Jax Cole
110
110 voters prefer Tyanna Jones over Jax Cole
33
33 voters have an equal preference for Tyanna Jones over Jax Cole
94
94 voters prefer Jax Cole over Tyanna Jones
X = Tyanna Jones
Y = Nick Fradiani
118
118 voters prefer Tyanna Jones over Nick Fradiani
33
33 voters have an equal preference for Tyanna Jones over Nick Fradiani
86
86 voters prefer Nick Fradiani over Tyanna Jones
X = Tyanna Jones
Y = Quentin Alexander
134
134 voters prefer Tyanna Jones over Quentin Alexander
40
40 voters have an equal preference for Tyanna Jones over Quentin Alexander
63
63 voters prefer Quentin Alexander over Tyanna Jones
X = Tyanna Jones
Y = Joey Cook
128
128 voters prefer Tyanna Jones over Joey Cook
41
41 voters have an equal preference for Tyanna Jones over Joey Cook
68
68 voters prefer Joey Cook over Tyanna Jones
X = Tyanna Jones
Y = Rayvon Owen
134
134 voters prefer Tyanna Jones over Rayvon Owen
45
45 voters have an equal preference for Tyanna Jones over Rayvon Owen
58
58 voters prefer Rayvon Owen over Tyanna Jones
X = Tyanna Jones
Y = Sarina-Joi Crowe
128
128 voters prefer Tyanna Jones over Sarina-Joi Crowe
32
32 voters have an equal preference for Tyanna Jones over Sarina-Joi Crowe
77
77 voters prefer Sarina-Joi Crowe over Tyanna Jones
X = Tyanna Jones
Y = Adanna Duru
150
150 voters prefer Tyanna Jones over Adanna Duru
46
46 voters have an equal preference for Tyanna Jones over Adanna Duru
41
41 voters prefer Adanna Duru over Tyanna Jones
X = Tyanna Jones
Y = Maddie Walker
143
143 voters prefer Tyanna Jones over Maddie Walker
39
39 voters have an equal preference for Tyanna Jones over Maddie Walker
55
55 voters prefer Maddie Walker over Tyanna Jones
X = Tyanna Jones
Y = Qaasim Middleton
158
158 voters prefer Tyanna Jones over Qaasim Middleton
43
43 voters have an equal preference for Tyanna Jones over Qaasim Middleton
36
36 voters prefer Qaasim Middleton over Tyanna Jones
X = Tyanna Jones
Y = Daniel Seavey
161
161 voters prefer Tyanna Jones over Daniel Seavey
40
40 voters have an equal preference for Tyanna Jones over Daniel Seavey
36
36 voters prefer Daniel Seavey over Tyanna Jones
X = Jax Cole
Y = Nick Fradiani
129
129 voters prefer Jax Cole over Nick Fradiani
34
34 voters have an equal preference for Jax Cole over Nick Fradiani
74
74 voters prefer Nick Fradiani over Jax Cole
X = Jax Cole
Y = Quentin Alexander
131
131 voters prefer Jax Cole over Quentin Alexander
35
35 voters have an equal preference for Jax Cole over Quentin Alexander
71
71 voters prefer Quentin Alexander over Jax Cole
X = Jax Cole
Y = Joey Cook
121
121 voters prefer Jax Cole over Joey Cook
41
41 voters have an equal preference for Jax Cole and Joey Cook
75
75 voters prefer Joey Cook over Jax Cole
X = Jax Cole
Y = Rayvon Owen
130
130 voters prefer Jax Cole over Rayvon Owen
42
42 voters have an equal preference for Jax Cole over Rayvon Owen
65
65 voters prefer Rayvon Owen over Jax Cole
X = Jax Cole
Y = Sarina-Joi Crowe
145
145 voters prefer Jax Cole over Sarina-Joi Crowe
28
28 voters have an equal preference for Jax Cole and Sarina-Joi Crowe
64
64 voters prefer Sarina-Joi Crowe over Jax Cole
X = Jax Cole
Y = Adanna Duru
152
152 voters prefer Jax Cole over Adanna Duru
39
39 voters have an equal preference for Jax Cole over Adanna Duru
46
46 voters prefer Adanna Duru over Jax Cole
X = Jax Cole
Y = Maddie Walker
147
147 voters prefer Jax Cole over Maddie Walker
38
38 voters have an equal preference for Jax Cole and Maddie Walker
52
52 voters prefer Maddie Walker over Jax Cole
X = Jax Cole
Y = Qaasim Middleton
161
161 voters prefer Jax Cole over Qaasim Middleton
41
41 voters have an equal preference for Jax Cole over Qaasim Middleton
35
35 voters prefer Qaasim Middleton over Jax Cole
X = Jax Cole
Y = Daniel Seavey
163
163 voters prefer Jax Cole over Daniel Seavey
39
39 voters have an equal preference for Jax Cole over Daniel Seavey
35
35 voters prefer Daniel Seavey over Jax Cole
X = Nick Fradiani
Y = Quentin Alexander
105
105 voters prefer Nick Fradiani over Quentin Alexander
33
33 voters have an equal preference for Nick Fradiani and Quentin Alexander
99
99 voters prefer Quentin Alexander over Nick Fradiani
X = Nick Fradiani
Y = Joey Cook
104
104 voters prefer Nick Fradiani over Joey Cook
36
36 voters have an equal preference for Nick Fradiani and Joey Cook
97
97 voters prefer Joey Cook over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen
106
106 voters prefer Nick Fradiani over Rayvon Owen
40
40 voters have an equal preference for Nick Fradiani and Rayvon Owen
91
91 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Sarina-Joi Crowe
130
130 voters prefer Nick Fradiani over Sarina-Joi Crowe
29
29 voters have an equal preference for Nick Fradiani and Sarina-Joi Crowe
78
78 voters prefer Sarina-Joi Crowe over Nick Fradiani
X = Nick Fradiani
Y = Adanna Duru
138
138 voters prefer Nick Fradiani over Adanna Duru
38
38 voters have an equal preference for Nick Fradiani and Adanna Duru
61
61 voters prefer Adanna Duru over Nick Fradiani
X = Nick Fradiani
Y = Maddie Walker
129
129 voters prefer Nick Fradiani over Maddie Walker
35
35 voters have an equal preference for Nick Fradiani and Maddie Walker
73
73 voters prefer Maddie Walker over Nick Fradiani
X = Nick Fradiani
Y = Qaasim Middleton
143
143 voters prefer Nick Fradiani over Qaasim Middleton
39
39 voters have an equal preference for Nick Fradiani and Qaasim Middleton
55
55 voters prefer Qaasim Middleton over Nick Fradiani
X = Nick Fradiani
Y = Daniel Seavey
163
163 voters prefer Nick Fradiani over Daniel Seavey
36
36 voters have an equal preference for Nick Fradiani over Daniel Seavey
38
38 voters prefer Daniel Seavey over Nick Fradiani
X = Quentin Alexander
Y = Joey Cook
98
98 voters prefer Quentin Alexander over Joey Cook
43
43 voters have an equal preference for Quentin Alexander and Joey Cook
96
96 voters prefer Joey Cook over Quentin Alexander
X = Quentin Alexander
Y = Rayvon Owen
95
95 voters prefer Quentin Alexander over Rayvon Owen
49
49 voters have an equal preference for Quentin Alexander and Rayvon Owen
93
93 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Sarina-Joi Crowe
111
111 voters prefer Quentin Alexander over Sarina-Joi Crowe
35
35 voters have an equal preference for Quentin Alexander and Sarina-Joi Crowe
91
91 voters prefer Sarina-Joi Crowe over Quentin Alexander
X = Quentin Alexander
Y = Adanna Duru
121
121 voters prefer Quentin Alexander over Adanna Duru
49
49 voters have an equal preference for Quentin Alexander and Adanna Duru
67
67 voters prefer Adanna Duru over Quentin Alexander
X = Quentin Alexander
Y = Maddie Walker
113
113 voters prefer Quentin Alexander over Maddie Walker
40
40 voters have an equal preference for Quentin Alexander and Maddie Walker
84
84 voters prefer Maddie Walker over Quentin Alexander
X = Quentin Alexander
Y = Qaasim Middleton
135
135 voters prefer Quentin Alexander over Qaasim Middleton
48
48 voters have an equal preference for Quentin Alexander over Qaasim Middleton
54
54 voters prefer Qaasim Middleton over Quentin Alexander
X = Quentin Alexander
Y = Daniel Seavey
146
146 voters prefer Quentin Alexander over Daniel Seavey
42
42 voters have an equal preference for Quentin Alexander over Daniel Seavey
49
49 voters prefer Daniel Seavey over Quentin Alexander
X = Joey Cook
Y = Rayvon Owen
102
102 voters prefer Joey Cook over Rayvon Owen
48
48 voters have an equal preference for Joey Cook over Rayvon Owen
87
87 voters prefer Rayvon Owen over Joey Cook
X = Joey Cook
Y = Sarina-Joi Crowe
111
111 voters prefer Joey Cook over Sarina-Joi Crowe
35
35 voters have an equal preference for Joey Cook and Sarina-Joi Crowe
91
91 voters prefer Sarina-Joi Crowe over Joey Cook
X = Joey Cook
Y = Adanna Duru
122
122 voters prefer Joey Cook over Adanna Duru
48
48 voters have an equal preference for Joey Cook over Adanna Duru
67
67 voters prefer Adanna Duru over Joey Cook
X = Joey Cook
Y = Maddie Walker
116
116 voters prefer Joey Cook over Maddie Walker
42
42 voters have an equal preference for Joey Cook and Maddie Walker
79
79 voters prefer Maddie Walker over Joey Cook
X = Joey Cook
Y = Qaasim Middleton
128
128 voters prefer Joey Cook over Qaasim Middleton
46
46 voters have an equal preference for Joey Cook over Qaasim Middleton
63
63 voters prefer Qaasim Middleton over Joey Cook
X = Joey Cook
Y = Daniel Seavey
133
133 voters prefer Joey Cook over Daniel Seavey
45
45 voters have an equal preference for Joey Cook over Daniel Seavey
59
59 voters prefer Daniel Seavey over Joey Cook
X = Rayvon Owen
Y = Sarina-Joi Crowe
115
115 voters prefer Rayvon Owen over Sarina-Joi Crowe
38
38 voters have an equal preference for Rayvon Owen and Sarina-Joi Crowe
84
84 voters prefer Sarina-Joi Crowe over Rayvon Owen
X = Rayvon Owen
Y = Adanna Duru
120
120 voters prefer Rayvon Owen over Adanna Duru
52
52 voters have an equal preference for Rayvon Owen and Adanna Duru
65
65 voters prefer Adanna Duru over Rayvon Owen
X = Rayvon Owen
Y = Maddie Walker
119
119 voters prefer Rayvon Owen over Maddie Walker
45
45 voters have an equal preference for Rayvon Owen and Maddie Walker
73
73 voters prefer Maddie Walker over Rayvon Owen
X = Rayvon Owen
Y = Qaasim Middleton
127
127 voters prefer Rayvon Owen over Qaasim Middleton
51
51 voters have an equal preference for Rayvon Owen over Qaasim Middleton
59
59 voters prefer Qaasim Middleton over Rayvon Owen
X = Rayvon Owen
Y = Daniel Seavey
142
142 voters prefer Rayvon Owen over Daniel Seavey
48
48 voters have an equal preference for Rayvon Owen over Daniel Seavey
47
47 voters prefer Daniel Seavey over Rayvon Owen
X = Sarina-Joi Crowe
Y = Adanna Duru
116
116 voters prefer Sarina-Joi Crowe over Adanna Duru
38
38 voters have an equal preference for Sarina-Joi Crowe over Adanna Duru
83
83 voters prefer Adanna Duru over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Maddie Walker
104
104 voters prefer Sarina-Joi Crowe over Maddie Walker
31
31 voters have an equal preference for Sarina-Joi Crowe over Maddie Walker
102
102 voters prefer Maddie Walker over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Qaasim Middleton
115
115 voters prefer Sarina-Joi Crowe over Qaasim Middleton
36
36 voters have an equal preference for Sarina-Joi Crowe over Qaasim Middleton
86
86 voters prefer Qaasim Middleton over Sarina-Joi Crowe
X = Sarina-Joi Crowe
Y = Daniel Seavey
127
127 voters prefer Sarina-Joi Crowe over Daniel Seavey
35
35 voters have an equal preference for Sarina-Joi Crowe over Daniel Seavey
75
75 voters prefer Daniel Seavey over Sarina-Joi Crowe
X = Adanna Duru
Y = Maddie Walker
98
98 voters prefer Adanna Duru over Maddie Walker
45
45 voters have an equal preference for Adanna Duru and Maddie Walker
94
94 voters prefer Maddie Walker over Adanna Duru
X = Adanna Duru
Y = Qaasim Middleton
107
107 voters prefer Adanna Duru over Qaasim Middleton
50
50 voters have an equal preference for Adanna Duru over Qaasim Middleton
80
80 voters prefer Qaasim Middleton over Adanna Duru
X = Adanna Duru
Y = Daniel Seavey
129
129 voters prefer Adanna Duru over Daniel Seavey
45
45 voters have an equal preference for Adanna Duru over Daniel Seavey
63
63 voters prefer Daniel Seavey over Adanna Duru
X = Maddie Walker
Y = Qaasim Middleton
108
108 voters prefer Maddie Walker over Qaasim Middleton
45
45 voters have an equal preference for Maddie Walker over Qaasim Middleton
84
84 voters prefer Qaasim Middleton over Maddie Walker
X = Maddie Walker
Y = Daniel Seavey
142
142 voters prefer Maddie Walker over Daniel Seavey
41
41 voters have an equal preference for Maddie Walker over Daniel Seavey
54
54 voters prefer Daniel Seavey over Maddie Walker
X = Qaasim Middleton
Y = Daniel Seavey
119
119 voters prefer Qaasim Middleton over Daniel Seavey
47
47 voters have an equal preference for Qaasim Middleton over Daniel Seavey
71
71 voters prefer Daniel Seavey over Qaasim Middleton
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 8,575
Number of all possible valid sequences (without ties): 479,001,600
First sequence:
  1. Clark Beckham
  2. Daniel Seavey
  3. Nick Fradiani
  4. Qaasim Middleton
  5. Quentin Alexander
  6. Rayvon Owen
  7. Adanna Duru
  8. Jax Cole
  9. Joey Cook
  10. Maddie Walker
  11. Sarina-Joi Crowe
  12. Tyanna Jones
Last sequence:
  1. Tyanna Jones
  2. Sarina-Joi Crowe
  3. Maddie Walker
  4. Joey Cook
  5. Jax Cole
  6. Adanna Duru
  7. Rayvon Owen
  8. Quentin Alexander
  9. Qaasim Middleton
  10. Nick Fradiani
  11. Daniel Seavey
  12. Clark Beckham
© 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&12,2&3&4&5&6&7&8&9&10&11 x1
  • 1&12,9,8,3,2,11,7,4,10,5,6 x1
  • 1&2&3&4&5&6&7&8&9&10&11&12 x6
  • 1,10,3,8,2,6,12,9,4,5,7,11 x1
  • 1,10,4,3,12,6,7,11,8,5,2,9 x1
  • 1,10,8,2,3,6,4,11,7,12,5,9 x1
  • 1,11,6,3,12,10,7,8,9,2,5,4 x1
  • 1,12,10,5,3,2,4,6,7,8,11,9 x1
  • 1,12,2,9,8,5,4,11,10,7,6,3 x1
  • 1,12,3,8,10,9,6,4,11,2,7,5 x1
  • 1,12,3,8,7,6,5,10,11,2,9,4 x1
  • 1,12,3,8,9,2,6,7,5,4,11,10 x1
  • 1,12,4,5,9,8,10,7,3,6,11,2 x1
  • 1,12,4,9,6,2,7,5,8,3,10,11 x1
  • 1,12,5,6,9,3,8,11,7,4,10,2 x1
  • 1,12,8,3,9,11,10,6,5,7,4,2 x1
  • 1,12,8,5,9,3,4,6,7,10,2,11 x1
  • 1,12,8,6,10,11,5,3,4,7,9,2 x1
  • 1,12,8,7,5,3,2,9,6,4,10,11 x1
  • 1,12,9,5,8,2,6,4,7,10,11,3 x1
  • 1,12,9,6,8,5,3,10,7,4,2,11 x1
  • 1,3,10,11,12,6,2,4,7,8&9,5 x1
  • 1,3,12,7,10,9,6,8,5,4,2,11 x1
  • 1,3,2&4&5&6&7&8&9&10&11&12 x1
  • 1,3,2,6,10,12,11,9,8,5,4,7 x1
  • 1,3,6,2,12,5,11,9,7,4,10,8 x1
  • 1,3,6,8,11,12,10,2,5,7,9,4 x1
  • 1,3,8,6,4,5,2,12,11,7,9,10 x1
  • 1,3,8,9,11,12,2,10,5,6,7,4 x1
  • 1,3,9,5,8,12,7,11,4,6,10,2 x1
  • 1,4,2&3&5&6&7&8&9&10&11&12 x1
  • 1,4,8,12,5,10,3,9,6,11,2,7 x1
  • 1,5,2&3&4&6&7&8&9&10&11&12 x1
  • 1,6,10,8,11,4,3,7,12,5,9,2 x1
  • 1,6,10,8,3,4,5,2,12,11,7,9 x1
  • 1,6,11,12,8,5,9,3,4,7,2,10 x1
  • 1,6,12,11,8,4,7,5,10,3,9,2 x1
  • 1,6,12,8,9,3,5,11,4,10,7,2 x1
  • 1,6,3,12,11,7,10,8,4,5,2&9 x1
  • 1,6,5,7,11,10,12,8,4,3,9,2 x1
  • 1,6,8,10,2,3,4,5,7,12,9,11 x1
  • 1,6,8,3,5,10,2,7,12,4,9,11 x1
  • 1,8,11,5,6,3,9,10,12,4,7,2 x1
  • 1,8,12,3,2,6,10,5,11,4,7,9 x1
  • 1,8,12,9,11,10,6,3,2,7,5,4 x1
  • 1,8,3,6,12,11,10,9,5,4,7,2 x1
  • 1,8,3,6,2,5,4,9,12,7,10,11 x1
  • 1,8,5,3,11,12,6,4,9,7,10,2 x1
  • 1,8,5,9,3,4,12,6,7,10,11,2 x1
  • 1,8,6,9,5,10,12,11,3,4,7,2 x1
  • [Remaining ballots not listed]

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