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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

The free VoteFair ranking service is subsidized by sales of Ending The Hidden Unfairness In U.S. Elections and The Creative Problem Solver's Toolbox, which were written by Richard Fobes, the inventor of VoteFair ranking and the programmer and writer for the VoteFair site.

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