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VoteFair Ranking Results calculated at  www.VoteFair.org 2015-February-25  19:48

Poll title:

     American Idol poll, Season 14, Top 24, First 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 38 for Clark Beckham 8 voters marked Clark Beckham as their first choice
Second-most popular Michael Simeon  Ranking score is 37 for Michael Simeon 6 voters marked Michael Simeon as their first choice
Third-most popular Daniel Seavey  Ranking score is 31 for Daniel Seavey 7 voters marked Daniel Seavey as their first choice
Fourth-most popular Adam Ezegelian  Ranking score is 25 for Adam Ezegelian 4 voters marked Adam Ezegelian as their first choice
Fifth-most popular Nick Fradiani  Ranking score is 26 for Nick Fradiani 6 voters marked Nick Fradiani as their first choice
Sixth-most popular Mark Andrew  Ranking score is 17 for Mark Andrew 2 voters marked Mark Andrew as their first choice
Seventh-most popular Qaasim Middleton  Ranking score is 15 for Qaasim Middleton 2 voters marked Qaasim Middleton as their first choice
Eighth-most popular
is a tie among these choices
Quentin Alexander  Ranking score is 9 for Quentin Alexander 2 voters marked Quentin Alexander as their first choice
Savion Wright  Ranking score is 8 for Savion Wright 3 voters marked Savion Wright as their first choice
Ninth-most popular Rayvon Owen  Ranking score is 5 for Rayvon Owen 2 voters marked Rayvon Owen as their first choice
Tenth-most popular Riley Bria  Ranking score is 3 for Riley Bria 0 voter marked Riley Bria as their first choice
11th-most popular Trevor Douglas  Ranking score is 0 for Trevor Douglas 2 voters marked Trevor Douglas as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Clark Beckham

Second-most representative choice
is a tie among these choices:

    Michael Simeon


    Nick Fradiani

Additional levels of representation
cannot be determined until the above tie
has been resolved, which can be done
by introducing a tie-breaking vote.

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 Tie between:
    Clark Beckham
    Daniel Seavey
(Choice eliminated in the first round : Riley Bria)
Majority None of the choices has won a majority (more than half) the votes.

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

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

Details of plurality results

  
Choice Vote count Percentage
Clark Beckham 8 18 8 voters marked Clark Beckham as their first choice
Daniel Seavey 7 16 7 voters marked Daniel Seavey as their first choice
Nick Fradiani 6 13 6 voters marked Nick Fradiani as their first choice
Michael Simeon 6 13 6 voters marked Michael Simeon as their first choice
Adam Ezegelian 4 9 4 voters marked Adam Ezegelian as their first choice
Savion Wright 3 7 3 voters marked Savion Wright as their first choice
Trevor Douglas 2 4 2 voters marked Trevor Douglas as their first choice
Rayvon Owen 2 4 2 voters marked Rayvon Owen as their first choice
Quentin Alexander 2 4 2 voters marked Quentin Alexander as their first choice
Qaasim Middleton 2 4 2 voters marked Qaasim Middleton as their first choice
Mark Andrew 2 4 2 voters marked Mark Andrew as their first choice
Riley Bria 1 2 0 voter marked Riley Bria as their first choice
(8 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: 53
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 = Michael Simeon
17
17 voters prefer Clark Beckham over Michael Simeon
20
20 voters have an equal preference for Clark Beckham and Michael Simeon
16
16 voters prefer Michael Simeon over Clark Beckham
X = Clark Beckham
Y = Daniel Seavey
18
18 voters prefer Clark Beckham over Daniel Seavey
19
19 voters have an equal preference for Clark Beckham and Daniel Seavey
16
16 voters prefer Daniel Seavey over Clark Beckham
X = Clark Beckham
Y = Adam Ezegelian
18
18 voters prefer Clark Beckham over Adam Ezegelian
22
22 voters have an equal preference for Clark Beckham over Adam Ezegelian
13
13 voters prefer Adam Ezegelian over Clark Beckham
X = Clark Beckham
Y = Nick Fradiani
22
22 voters prefer Clark Beckham over Nick Fradiani
19
19 voters have an equal preference for Clark Beckham and Nick Fradiani
12
12 voters prefer Nick Fradiani over Clark Beckham
X = Clark Beckham
Y = Mark Andrew
22
22 voters prefer Clark Beckham over Mark Andrew
21
21 voters have an equal preference for Clark Beckham and Mark Andrew
10
10 voters prefer Mark Andrew over Clark Beckham
X = Clark Beckham
Y = Qaasim Middleton
22
22 voters prefer Clark Beckham over Qaasim Middleton
21
21 voters have an equal preference for Clark Beckham and Qaasim Middleton
10
10 voters prefer Qaasim Middleton over Clark Beckham
X = Clark Beckham
Y = Quentin Alexander
22
22 voters prefer Clark Beckham over Quentin Alexander
21
21 voters have an equal preference for Clark Beckham and Quentin Alexander
10
10 voters prefer Quentin Alexander over Clark Beckham
X = Clark Beckham
Y = Savion Wright
18
18 voters prefer Clark Beckham over Savion Wright
22
22 voters have an equal preference for Clark Beckham and Savion Wright
13
13 voters prefer Savion Wright over Clark Beckham
X = Clark Beckham
Y = Rayvon Owen
23
23 voters prefer Clark Beckham over Rayvon Owen
21
21 voters have an equal preference for Clark Beckham and Rayvon Owen
9
9 voters prefer Rayvon Owen over Clark Beckham
X = Clark Beckham
Y = Riley Bria
22
22 voters prefer Clark Beckham over Riley Bria
20
20 voters have an equal preference for Clark Beckham and Riley Bria
11
11 voters prefer Riley Bria over Clark Beckham
X = Clark Beckham
Y = Trevor Douglas
18
18 voters prefer Clark Beckham over Trevor Douglas
21
21 voters have an equal preference for Clark Beckham and Trevor Douglas
14
14 voters prefer Trevor Douglas over Clark Beckham
X = Michael Simeon
Y = Daniel Seavey
21
21 voters prefer Michael Simeon over Daniel Seavey
15
15 voters have an equal preference for Michael Simeon over Daniel Seavey
17
17 voters prefer Daniel Seavey over Michael Simeon
X = Michael Simeon
Y = Adam Ezegelian
20
20 voters prefer Michael Simeon over Adam Ezegelian
19
19 voters have an equal preference for Michael Simeon over Adam Ezegelian
14
14 voters prefer Adam Ezegelian over Michael Simeon
X = Michael Simeon
Y = Nick Fradiani
19
19 voters prefer Michael Simeon over Nick Fradiani
16
16 voters have an equal preference for Michael Simeon and Nick Fradiani
18
18 voters prefer Nick Fradiani over Michael Simeon
X = Michael Simeon
Y = Mark Andrew
23
23 voters prefer Michael Simeon over Mark Andrew
18
18 voters have an equal preference for Michael Simeon over Mark Andrew
12
12 voters prefer Mark Andrew over Michael Simeon
X = Michael Simeon
Y = Qaasim Middleton
23
23 voters prefer Michael Simeon over Qaasim Middleton
17
17 voters have an equal preference for Michael Simeon and Qaasim Middleton
13
13 voters prefer Qaasim Middleton over Michael Simeon
X = Michael Simeon
Y = Quentin Alexander
21
21 voters prefer Michael Simeon over Quentin Alexander
20
20 voters have an equal preference for Michael Simeon and Quentin Alexander
12
12 voters prefer Quentin Alexander over Michael Simeon
X = Michael Simeon
Y = Savion Wright
22
22 voters prefer Michael Simeon over Savion Wright
20
20 voters have an equal preference for Michael Simeon and Savion Wright
11
11 voters prefer Savion Wright over Michael Simeon
X = Michael Simeon
Y = Rayvon Owen
24
24 voters prefer Michael Simeon over Rayvon Owen
19
19 voters have an equal preference for Michael Simeon and Rayvon Owen
10
10 voters prefer Rayvon Owen over Michael Simeon
X = Michael Simeon
Y = Riley Bria
25
25 voters prefer Michael Simeon over Riley Bria
18
18 voters have an equal preference for Michael Simeon and Riley Bria
10
10 voters prefer Riley Bria over Michael Simeon
X = Michael Simeon
Y = Trevor Douglas
20
20 voters prefer Michael Simeon over Trevor Douglas
21
21 voters have an equal preference for Michael Simeon and Trevor Douglas
12
12 voters prefer Trevor Douglas over Michael Simeon
X = Daniel Seavey
Y = Adam Ezegelian
17
17 voters prefer Daniel Seavey over Adam Ezegelian
20
20 voters have an equal preference for Daniel Seavey over Adam Ezegelian
16
16 voters prefer Adam Ezegelian over Daniel Seavey
X = Daniel Seavey
Y = Nick Fradiani
19
19 voters prefer Daniel Seavey over Nick Fradiani
15
15 voters have an equal preference for Daniel Seavey and Nick Fradiani
19
19 voters prefer Nick Fradiani over Daniel Seavey
X = Daniel Seavey
Y = Mark Andrew
20
20 voters prefer Daniel Seavey over Mark Andrew
19
19 voters have an equal preference for Daniel Seavey and Mark Andrew
14
14 voters prefer Mark Andrew over Daniel Seavey
X = Daniel Seavey
Y = Qaasim Middleton
22
22 voters prefer Daniel Seavey over Qaasim Middleton
18
18 voters have an equal preference for Daniel Seavey and Qaasim Middleton
13
13 voters prefer Qaasim Middleton over Daniel Seavey
X = Daniel Seavey
Y = Quentin Alexander
20
20 voters prefer Daniel Seavey over Quentin Alexander
18
18 voters have an equal preference for Daniel Seavey and Quentin Alexander
15
15 voters prefer Quentin Alexander over Daniel Seavey
X = Daniel Seavey
Y = Savion Wright
21
21 voters prefer Daniel Seavey over Savion Wright
19
19 voters have an equal preference for Daniel Seavey and Savion Wright
13
13 voters prefer Savion Wright over Daniel Seavey
X = Daniel Seavey
Y = Rayvon Owen
21
21 voters prefer Daniel Seavey over Rayvon Owen
18
18 voters have an equal preference for Daniel Seavey and Rayvon Owen
14
14 voters prefer Rayvon Owen over Daniel Seavey
X = Daniel Seavey
Y = Riley Bria
20
20 voters prefer Daniel Seavey over Riley Bria
18
18 voters have an equal preference for Daniel Seavey and Riley Bria
15
15 voters prefer Riley Bria over Daniel Seavey
X = Daniel Seavey
Y = Trevor Douglas
19
19 voters prefer Daniel Seavey over Trevor Douglas
19
19 voters have an equal preference for Daniel Seavey and Trevor Douglas
15
15 voters prefer Trevor Douglas over Daniel Seavey
X = Adam Ezegelian
Y = Nick Fradiani
18
18 voters prefer Adam Ezegelian over Nick Fradiani
18
18 voters have an equal preference for Adam Ezegelian and Nick Fradiani
17
17 voters prefer Nick Fradiani over Adam Ezegelian
X = Adam Ezegelian
Y = Mark Andrew
18
18 voters prefer Adam Ezegelian over Mark Andrew
21
21 voters have an equal preference for Adam Ezegelian and Mark Andrew
14
14 voters prefer Mark Andrew over Adam Ezegelian
X = Adam Ezegelian
Y = Qaasim Middleton
21
21 voters prefer Adam Ezegelian over Qaasim Middleton
21
21 voters have an equal preference for Adam Ezegelian and Qaasim Middleton
11
11 voters prefer Qaasim Middleton over Adam Ezegelian
X = Adam Ezegelian
Y = Quentin Alexander
17
17 voters prefer Adam Ezegelian over Quentin Alexander
22
22 voters have an equal preference for Adam Ezegelian and Quentin Alexander
14
14 voters prefer Quentin Alexander over Adam Ezegelian
X = Adam Ezegelian
Y = Savion Wright
18
18 voters prefer Adam Ezegelian over Savion Wright
22
22 voters have an equal preference for Adam Ezegelian and Savion Wright
13
13 voters prefer Savion Wright over Adam Ezegelian
X = Adam Ezegelian
Y = Rayvon Owen
20
20 voters prefer Adam Ezegelian over Rayvon Owen
22
22 voters have an equal preference for Adam Ezegelian and Rayvon Owen
11
11 voters prefer Rayvon Owen over Adam Ezegelian
X = Adam Ezegelian
Y = Riley Bria
20
20 voters prefer Adam Ezegelian over Riley Bria
20
20 voters have an equal preference for Adam Ezegelian and Riley Bria
13
13 voters prefer Riley Bria over Adam Ezegelian
X = Adam Ezegelian
Y = Trevor Douglas
16
16 voters prefer Adam Ezegelian over Trevor Douglas
21
21 voters have an equal preference for Adam Ezegelian and Trevor Douglas
16
16 voters prefer Trevor Douglas over Adam Ezegelian
X = Nick Fradiani
Y = Mark Andrew
21
21 voters prefer Nick Fradiani over Mark Andrew
19
19 voters have an equal preference for Nick Fradiani over Mark Andrew
13
13 voters prefer Mark Andrew over Nick Fradiani
X = Nick Fradiani
Y = Qaasim Middleton
23
23 voters prefer Nick Fradiani over Qaasim Middleton
17
17 voters have an equal preference for Nick Fradiani and Qaasim Middleton
13
13 voters prefer Qaasim Middleton over Nick Fradiani
X = Nick Fradiani
Y = Quentin Alexander
20
20 voters prefer Nick Fradiani over Quentin Alexander
20
20 voters have an equal preference for Nick Fradiani and Quentin Alexander
13
13 voters prefer Quentin Alexander over Nick Fradiani
X = Nick Fradiani
Y = Savion Wright
20
20 voters prefer Nick Fradiani over Savion Wright
21
21 voters have an equal preference for Nick Fradiani and Savion Wright
12
12 voters prefer Savion Wright over Nick Fradiani
X = Nick Fradiani
Y = Rayvon Owen
22
22 voters prefer Nick Fradiani over Rayvon Owen
20
20 voters have an equal preference for Nick Fradiani and Rayvon Owen
11
11 voters prefer Rayvon Owen over Nick Fradiani
X = Nick Fradiani
Y = Riley Bria
24
24 voters prefer Nick Fradiani over Riley Bria
18
18 voters have an equal preference for Nick Fradiani and Riley Bria
11
11 voters prefer Riley Bria over Nick Fradiani
X = Nick Fradiani
Y = Trevor Douglas
20
20 voters prefer Nick Fradiani over Trevor Douglas
20
20 voters have an equal preference for Nick Fradiani and Trevor Douglas
13
13 voters prefer Trevor Douglas over Nick Fradiani
X = Mark Andrew
Y = Qaasim Middleton
18
18 voters prefer Mark Andrew over Qaasim Middleton
20
20 voters have an equal preference for Mark Andrew and Qaasim Middleton
15
15 voters prefer Qaasim Middleton over Mark Andrew
X = Mark Andrew
Y = Quentin Alexander
15
15 voters prefer Mark Andrew over Quentin Alexander
21
21 voters have an equal preference for Mark Andrew and Quentin Alexander
17
17 voters prefer Quentin Alexander over Mark Andrew
X = Mark Andrew
Y = Savion Wright
16
16 voters prefer Mark Andrew over Savion Wright
23
23 voters have an equal preference for Mark Andrew and Savion Wright
14
14 voters prefer Savion Wright over Mark Andrew
X = Mark Andrew
Y = Rayvon Owen
19
19 voters prefer Mark Andrew over Rayvon Owen
22
22 voters have an equal preference for Mark Andrew and Rayvon Owen
12
12 voters prefer Rayvon Owen over Mark Andrew
X = Mark Andrew
Y = Riley Bria
17
17 voters prefer Mark Andrew over Riley Bria
22
22 voters have an equal preference for Mark Andrew and Riley Bria
14
14 voters prefer Riley Bria over Mark Andrew
X = Mark Andrew
Y = Trevor Douglas
15
15 voters prefer Mark Andrew over Trevor Douglas
22
22 voters have an equal preference for Mark Andrew and Trevor Douglas
16
16 voters prefer Trevor Douglas over Mark Andrew
X = Qaasim Middleton
Y = Quentin Alexander
18
18 voters prefer Qaasim Middleton over Quentin Alexander
22
22 voters have an equal preference for Qaasim Middleton and Quentin Alexander
13
13 voters prefer Quentin Alexander over Qaasim Middleton
X = Qaasim Middleton
Y = Savion Wright
17
17 voters prefer Qaasim Middleton over Savion Wright
23
23 voters have an equal preference for Qaasim Middleton and Savion Wright
13
13 voters prefer Savion Wright over Qaasim Middleton
X = Qaasim Middleton
Y = Rayvon Owen
18
18 voters prefer Qaasim Middleton over Rayvon Owen
22
22 voters have an equal preference for Qaasim Middleton and Rayvon Owen
13
13 voters prefer Rayvon Owen over Qaasim Middleton
X = Qaasim Middleton
Y = Riley Bria
19
19 voters prefer Qaasim Middleton over Riley Bria
21
21 voters have an equal preference for Qaasim Middleton and Riley Bria
13
13 voters prefer Riley Bria over Qaasim Middleton
X = Qaasim Middleton
Y = Trevor Douglas
16
16 voters prefer Qaasim Middleton over Trevor Douglas
21
21 voters have an equal preference for Qaasim Middleton and Trevor Douglas
16
16 voters prefer Trevor Douglas over Qaasim Middleton
X = Quentin Alexander
Y = Savion Wright
14
14 voters prefer Quentin Alexander over Savion Wright
25
25 voters have an equal preference for Quentin Alexander and Savion Wright
14
14 voters prefer Savion Wright over Quentin Alexander
X = Quentin Alexander
Y = Rayvon Owen
14
14 voters prefer Quentin Alexander over Rayvon Owen
25
25 voters have an equal preference for Quentin Alexander and Rayvon Owen
14
14 voters prefer Rayvon Owen over Quentin Alexander
X = Quentin Alexander
Y = Riley Bria
20
20 voters prefer Quentin Alexander over Riley Bria
23
23 voters have an equal preference for Quentin Alexander and Riley Bria
10
10 voters prefer Riley Bria over Quentin Alexander
X = Quentin Alexander
Y = Trevor Douglas
17
17 voters prefer Quentin Alexander over Trevor Douglas
23
23 voters have an equal preference for Quentin Alexander and Trevor Douglas
13
13 voters prefer Trevor Douglas over Quentin Alexander
X = Savion Wright
Y = Rayvon Owen
14
14 voters prefer Savion Wright over Rayvon Owen
27
27 voters have an equal preference for Savion Wright over Rayvon Owen
12
12 voters prefer Rayvon Owen over Savion Wright
X = Savion Wright
Y = Riley Bria
16
16 voters prefer Savion Wright over Riley Bria
26
26 voters have an equal preference for Savion Wright over Riley Bria
11
11 voters prefer Riley Bria over Savion Wright
X = Savion Wright
Y = Trevor Douglas
15
15 voters prefer Savion Wright over Trevor Douglas
25
25 voters have an equal preference for Savion Wright and Trevor Douglas
13
13 voters prefer Trevor Douglas over Savion Wright
X = Rayvon Owen
Y = Riley Bria
17
17 voters prefer Rayvon Owen over Riley Bria
24
24 voters have an equal preference for Rayvon Owen and Riley Bria
12
12 voters prefer Riley Bria over Rayvon Owen
X = Rayvon Owen
Y = Trevor Douglas
14
14 voters prefer Rayvon Owen over Trevor Douglas
23
23 voters have an equal preference for Rayvon Owen and Trevor Douglas
16
16 voters prefer Trevor Douglas over Rayvon Owen
X = Riley Bria
Y = Trevor Douglas
16
16 voters prefer Riley Bria over Trevor Douglas
22
22 voters have an equal preference for Riley Bria and Trevor Douglas
15
15 voters prefer Trevor Douglas over Riley Bria
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 1,262
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&12,7&8&9&10&11 x1
  • 1&2&3&4&5&6&7&8&9&10&11&12 x5
  • 1&2&4&5&6&7&8&9&10&11&12,3 x1
  • 1&3,8,2&4&5&6&7&9&10&11&12 x1
  • 1,2,3,4,5,6,7,8,9,10,11,12 x1
  • 1,4,12,11,10,9,8,7,6,5,2&3 x1
  • 1,6,5,12,10,3,7,11,9,8,2,4 x1
  • 1,7,8,2,10,5,3&4&6&9&11&12 x1
  • 10,3,4,1&2&5&6&7&8&9&11&12 x1
  • 11,12,10,1,2,3,4,5,6,7,8,9 x1
  • 11,5,4,1,2,7,8,9,10,12,3,6 x1
  • 11,6,12,3,1,4,5,2,7,9,10,8 x1
  • 12,1,5,4,7,11,3,2,10,9,6&8 x1
  • 12,11,2,6,9,5,7,8,10,4,3,1 x1
  • 2,1,4,5,6,7,8,9,10,11,12,3 x1
  • 2,11,9,8,5,6,7,4,12,10,1,3 x1
  • 2,3,12,11,8,1,10,7,5,6,9,4 x1
  • 2,5,1,3,4&6&7&8&9&10&11&12 x1
  • 2,6,1&3&4&5&7&8&9&10&11&12 x1
  • 2,6,9,11,10,8,12,3,1,4,7,5 x1
  • 2,7,9,8,1,3,6,5,10,11,4,12 x1
  • 2,9,7,8,6,10,4,12,11,5,1,3 x1
  • 3,10,1&2&4&5&6&7&8&9&11&12 x1
  • 3,11,2,6,7,8,10,12,1,4,9,5 x1
  • 3,11,5&8&12,4&10,1&9,6,2&7 x1
  • 3,2,12,7,8,6,5,4,1,9&10&11 x1
  • 3,2,5,1,4,6,7,8&9,10&11&12 x1
  • 3,5,10,12,2,1,9,6,8,7,4,11 x1
  • 3,7,12,1&2&4&5&6&8&9&10&11 x1
  • 4,1&2&3&5&6&7&8&9&10&11&12 x2
  • 5,1&2&3&4&6&7&8&9&10&11&12 x2
  • 5,11,6,2,4,9,8,10,3,1,7,12 x1
  • 5,12,1&2&3&4&6&7&8&9&10&11 x1
  • 5,2,1&3&4&6&7&8&9&10&11&12 x1
  • 5,8,1,3,7,11,12,9,10,2,4,6 x1
  • 6,1&2&3&4&5&7&8&9&10&11&12 x4
  • 6,5,4,3,9,1,7,8,11,10,12,2 x1
  • 6,5,8,9,10,11,12,1&2&3&4&7 x1
  • 7,1,2&3&4&5&6&8&9&10&11&12 x1
  • 7,3,1&2&4&5&6&8&9&10&11&12 x1
  • 8,3,12,2,7,5,4,1,6,11,9,10 x1
  • 8,6,4,10,9,7,5,2,1,12,3,11 x1
  • 9,1&2&3&4&5&6&7&8&10&11&12 x1
  • 9,2,6,5,4,3,11,1,10,12,8,7 x1

© Copyright 2009 Solutions Through Innovation at www.VoteFair.org

Software version: 2015-Feb-25

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