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VoteFair Ranking Results calculated at  www.VoteFair.org 2006-May-18  12:09


Poll title:

     Favorite American Idols over four seasons    

Question (number 1) title:

     Order of preference for American Idol singers    



The most preferred and most representative choice is:

    Clay Aiken

Overall popularity ranking:

     
Popularity Choice Graphic summary of tally information
(details in mouse-over ALT text)
First-most popular Clay Aiken 4,975 voters prefer

Clay Aiken

over

Kelly Clarkson560 voters have an equal preference for

Clay Aiken

and

Kelly Clarkson803 voters prefer

Kelly Clarkson

over

Clay Aiken 5,269 voters prefer

Clay Aiken

over

Carrie Underwood482 voters have an equal preference for

Clay Aiken

and

Carrie Underwood587 voters prefer

Carrie Underwood

over

Clay Aiken 5,019 voters prefer

Clay Aiken

over

Bo Bice454 voters have an equal preference for

Clay Aiken

and

Bo Bice865 voters prefer

Bo Bice

over

Clay Aiken 4,654 voters prefer

Clay Aiken

over

Constantine Maroulis158 voters have an equal preference for

Clay Aiken

and

Constantine Maroulis1,526 voters prefer

Constantine Maroulis

over

Clay Aiken 5,466 voters prefer

Clay Aiken

over

Ruben Studdard496 voters have an equal preference for

Clay Aiken

and

Ruben Studdard376 voters prefer

Ruben Studdard

over

Clay Aiken 5,402 voters prefer

Clay Aiken

over

Diana DeGarmo524 voters have an equal preference for

Clay Aiken

and

Diana DeGarmo412 voters prefer

Diana DeGarmo

over

Clay Aiken 5,446 voters prefer

Clay Aiken

over

Fantasia Barrino499 voters have an equal preference for

Clay Aiken

and

Fantasia Barrino393 voters prefer

Fantasia Barrino

over

Clay Aiken 5,522 voters prefer

Clay Aiken

over

Justin Guarini550 voters have an equal preference for

Clay Aiken

and

Justin Guarini266 voters prefer

Justin Guarini

over

Clay Aiken
Second-most popular Kelly Clarkson The percent bars above indicate comparisons with the choice to the left

3,717 voters prefer

Kelly Clarkson

over

Carrie Underwood1,135 voters have an equal preference for

Kelly Clarkson

and

Carrie Underwood1,486 voters prefer

Carrie Underwood

over

Kelly Clarkson 3,509 voters prefer

Kelly Clarkson

over

Bo Bice1,098 voters have an equal preference for

Kelly Clarkson

and

Bo Bice1,731 voter prefers

Bo Bice

over

Kelly Clarkson 3,509 voters prefer

Kelly Clarkson

over

Constantine Maroulis821 voter has an equal preference for

Kelly Clarkson

and

Constantine Maroulis2,008 voters prefer

Constantine Maroulis

over

Kelly Clarkson 4,322 voters prefer

Kelly Clarkson

over

Ruben Studdard1,159 voters have an equal preference for

Kelly Clarkson

and

Ruben Studdard857 voters prefer

Ruben Studdard

over

Kelly Clarkson 4,300 voters prefer

Kelly Clarkson

over

Diana DeGarmo1,176 voters have an equal preference for

Kelly Clarkson

and

Diana DeGarmo862 voters prefer

Diana DeGarmo

over

Kelly Clarkson 4,640 voters prefer

Kelly Clarkson

over

Fantasia Barrino1,174 voters have an equal preference for

Kelly Clarkson

and

Fantasia Barrino524 voters prefer

Fantasia Barrino

over

Kelly Clarkson 4,702 voters prefer

Kelly Clarkson

over

Justin Guarini1,188 voters have an equal preference for

Kelly Clarkson

and

Justin Guarini448 voters prefer

Justin Guarini

over

Kelly Clarkson
Third-most popular Carrie Underwood The percent bars above indicate comparisons with the choice to the left

2,704 voters prefer

Carrie Underwood

over

Bo Bice1,155 voters have an equal preference for

Carrie Underwood

and

Bo Bice2,479 voters prefer

Bo Bice

over

Carrie Underwood 3,188 voters prefer

Carrie Underwood

over

Constantine Maroulis854 voters have an equal preference for

Carrie Underwood

and

Constantine Maroulis2,296 voters prefer

Constantine Maroulis

over

Carrie Underwood 3,548 voters prefer

Carrie Underwood

over

Ruben Studdard1,233 voters have an equal preference for

Carrie Underwood

and

Ruben Studdard1,557 voters prefer

Ruben Studdard

over

Carrie Underwood 3,826 voters prefer

Carrie Underwood

over

Diana DeGarmo1,288 voters have an equal preference for

Carrie Underwood

and

Diana DeGarmo1,224 voters prefer

Diana DeGarmo

over

Carrie Underwood 4,220 voters prefer

Carrie Underwood

over

Fantasia Barrino1,275 voters have an equal preference for

Carrie Underwood

and

Fantasia Barrino843 voters prefer

Fantasia Barrino

over

Carrie Underwood 4,294 voters prefer

Carrie Underwood

over

Justin Guarini1,257 voters have an equal preference for

Carrie Underwood

and

Justin Guarini787 voters prefer

Justin Guarini

over

Carrie Underwood
Fourth-most popular Bo Bice The percent bars above indicate comparisons with the choice to the left

2,981 voter prefers

Bo Bice

over

Constantine Maroulis959 voters have an equal preference for

Bo Bice

and

Constantine Maroulis2,398 voters prefer

Constantine Maroulis

over

Bo Bice 3,488 voters prefer

Bo Bice

over

Ruben Studdard1,248 voters have an equal preference for

Bo Bice

and

Ruben Studdard1,602 voters prefer

Ruben Studdard

over

Bo Bice 3,602 voters prefer

Bo Bice

over

Diana DeGarmo1,248 voters have an equal preference for

Bo Bice

and

Diana DeGarmo1,488 voters prefer

Diana DeGarmo

over

Bo Bice 4,317 voters prefer

Bo Bice

over

Fantasia Barrino1,287 voters have an equal preference for

Bo Bice

and

Fantasia Barrino734 voters prefer

Fantasia Barrino

over

Bo Bice 4,346 voters prefer

Bo Bice

over

Justin Guarini1,306 voters have an equal preference for

Bo Bice

and

Justin Guarini686 voters prefer

Justin Guarini

over

Bo Bice
Fifth-most popular Constantine Maroulis The percent bars above indicate comparisons with the choice to the left

3,054 voters prefer

Constantine Maroulis

over

Ruben Studdard998 voters have an equal preference for

Constantine Maroulis

and

Ruben Studdard2,286 voters prefer

Ruben Studdard

over

Constantine Maroulis 3,161 voter prefers

Constantine Maroulis

over

Diana DeGarmo1,028 voters have an equal preference for

Constantine Maroulis

and

Diana DeGarmo2,149 voters prefer

Diana DeGarmo

over

Constantine Maroulis 4,089 voters prefer

Constantine Maroulis

over

Fantasia Barrino1,098 voters have an equal preference for

Constantine Maroulis

and

Fantasia Barrino1,151 voter prefers

Fantasia Barrino

over

Constantine Maroulis 4,171 voter prefers

Constantine Maroulis

over

Justin Guarini1,122 voters have an equal preference for

Constantine Maroulis

and

Justin Guarini1,045 voters prefer

Justin Guarini

over

Constantine Maroulis
Sixth-most popular Ruben Studdard The percent bars above indicate comparisons with the choice to the left

2,626 voters prefer

Ruben Studdard

over

Diana DeGarmo1,421 voter has an equal preference for

Ruben Studdard

and

Diana DeGarmo2,291 voter prefers

Diana DeGarmo

over

Ruben Studdard 3,571 voter prefers

Ruben Studdard

over

Fantasia Barrino1,508 voters have an equal preference for

Ruben Studdard

and

Fantasia Barrino1,259 voters prefer

Fantasia Barrino

over

Ruben Studdard 3,682 voters prefer

Ruben Studdard

over

Justin Guarini1,528 voters have an equal preference for

Ruben Studdard

and

Justin Guarini1,128 voters prefer

Justin Guarini

over

Ruben Studdard
Seventh-most popular Diana DeGarmo The percent bars above indicate comparisons with the choice to the left

3,397 voters prefer

Diana DeGarmo

over

Fantasia Barrino1,506 voters have an equal preference for

Diana DeGarmo

and

Fantasia Barrino1,435 voters prefer

Fantasia Barrino

over

Diana DeGarmo 3,764 voters prefer

Diana DeGarmo

over

Justin Guarini1,517 voters have an equal preference for

Diana DeGarmo

and

Justin Guarini1,057 voters prefer

Justin Guarini

over

Diana DeGarmo
Eighth-most popular Fantasia Barrino The percent bars above indicate comparisons with the choice to the left

2,438 voters prefer

Fantasia Barrino

over

Justin Guarini1,633 voters have an equal preference for

Fantasia Barrino

and

Justin Guarini2,267 voters prefer

Justin Guarini

over

Fantasia Barrino
Ninth-most popular Justin Guarini The percent bars above indicate comparisons with the choice to the left



VoteFair representation Ranking

  
First-most representative choice is: Clay Aiken
Second-most representative choice is: Constantine Maroulis
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 on a board of directors, or when an organization pursues a second activity in addition to the most popular activity.


Comparison of VoteFair Ranking with other voting methods

  
Voting method Winner
VoteFair Clay Aiken
Instant runoff Clay Aiken
Majority Clay Aiken

(208 ballots ignored because they rank more than one choice as the most-preferred choice.)
Plurality Clay Aiken

(208 ballots ignored because they rank more than one choice as the most-preferred choice.)
Condorcet Clay Aiken
Borda count Clay Aiken

(2160 ballots ignored because they rank more than one choice at the same preference level.)

Details of plurality results
  
Choice Vote count Percentage Percentage bar
Clay Aiken 4,364 71 4364 voters marked

Clay Aiken

as their first choice
Constantine Maroulis 1,350 22 1350 voters marked

Constantine Maroulis

as their first choice
Kelly Clarkson 166 3 166 voters marked

Kelly Clarkson

as their first choice
Carrie Underwood 89 1 89 voters marked

Carrie Underwood

as their first choice
Bo Bice 84 1 84 voters marked

Bo Bice

as their first choice
Fantasia Barrino 50 1 50 voters marked

Fantasia Barrino

as their first choice
Ruben Studdard 16 0 16 voters marked

Ruben Studdard

as their first choice
Diana DeGarmo 6 0 6 voters marked

Diana DeGarmo

as their first choice
Justin Guarini 5 0 5 voters marked

Justin Guarini

as their first choice
(208 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: 6,338
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 = Clay Aiken
Y = Kelly Clarkson
4,975
4,975 voters prefer

Clay Aiken

over

Kelly Clarkson
560
560 voters have an equal preference for

Clay Aiken

and

Kelly Clarkson
803
803 voters prefer

Kelly Clarkson

over

Clay Aiken
X = Clay Aiken
Y = Carrie Underwood
5,269
5,269 voters prefer

Clay Aiken

over

Carrie Underwood
482
482 voters have an equal preference for

Clay Aiken

and

Carrie Underwood
587
587 voters prefer

Carrie Underwood

over

Clay Aiken
X = Clay Aiken
Y = Bo Bice
5,019
5,019 voters prefer

Clay Aiken

over

Bo Bice
454
454 voters have an equal preference for

Clay Aiken

and

Bo Bice
865
865 voters prefer

Bo Bice

over

Clay Aiken
X = Clay Aiken
Y = Constantine Maroulis
4,654
4,654 voters prefer

Clay Aiken

over

Constantine Maroulis
158
158 voters have an equal preference for

Clay Aiken

and

Constantine Maroulis
1,526
1,526 voters prefer

Constantine Maroulis

over

Clay Aiken
X = Clay Aiken
Y = Ruben Studdard
5,466
5,466 voters prefer

Clay Aiken

over

Ruben Studdard
496
496 voters have an equal preference for

Clay Aiken

and

Ruben Studdard
376
376 voters prefer

Ruben Studdard

over

Clay Aiken
X = Clay Aiken
Y = Diana DeGarmo
5,402
5,402 voters prefer

Clay Aiken

over

Diana DeGarmo
524
524 voters have an equal preference for

Clay Aiken

and

Diana DeGarmo
412
412 voters prefer

Diana DeGarmo

over

Clay Aiken
X = Clay Aiken
Y = Fantasia Barrino
5,446
5,446 voters prefer

Clay Aiken

over

Fantasia Barrino
499
499 voters have an equal preference for

Clay Aiken

and

Fantasia Barrino
393
393 voters prefer

Fantasia Barrino

over

Clay Aiken
X = Clay Aiken
Y = Justin Guarini
5,522
5,522 voters prefer

Clay Aiken

over

Justin Guarini
550
550 voters have an equal preference for

Clay Aiken

and

Justin Guarini
266
266 voters prefer

Justin Guarini

over

Clay Aiken
X = Kelly Clarkson
Y = Carrie Underwood
3,717
3,717 voters prefer

Kelly Clarkson

over

Carrie Underwood
1,135
1,135 voters have an equal preference for

Kelly Clarkson

and

Carrie Underwood
1,486
1,486 voters prefer

Carrie Underwood

over

Kelly Clarkson
X = Kelly Clarkson
Y = Bo Bice
3,509
3,509 voters prefer

Kelly Clarkson

over

Bo Bice
1,098
1,098 voters have an equal preference for

Kelly Clarkson

and

Bo Bice
1,731
1,731 voter prefers

Bo Bice

over

Kelly Clarkson
X = Kelly Clarkson
Y = Constantine Maroulis
3,509
3,509 voters prefer

Kelly Clarkson

over

Constantine Maroulis
821
821 voter has an equal preference for

Kelly Clarkson

and

Constantine Maroulis
2,008
2,008 voters prefer

Constantine Maroulis

over

Kelly Clarkson
X = Kelly Clarkson
Y = Ruben Studdard
4,322
4,322 voters prefer

Kelly Clarkson

over

Ruben Studdard
1,159
1,159 voters have an equal preference for

Kelly Clarkson

and

Ruben Studdard
857
857 voters prefer

Ruben Studdard

over

Kelly Clarkson
X = Kelly Clarkson
Y = Diana DeGarmo
4,300
4,300 voters prefer

Kelly Clarkson

over

Diana DeGarmo
1,176
1,176 voters have an equal preference for

Kelly Clarkson

and

Diana DeGarmo
862
862 voters prefer

Diana DeGarmo

over

Kelly Clarkson
X = Kelly Clarkson
Y = Fantasia Barrino
4,640
4,640 voters prefer

Kelly Clarkson

over

Fantasia Barrino
1,174
1,174 voters have an equal preference for

Kelly Clarkson

and

Fantasia Barrino
524
524 voters prefer

Fantasia Barrino

over

Kelly Clarkson
X = Kelly Clarkson
Y = Justin Guarini
4,702
4,702 voters prefer

Kelly Clarkson

over

Justin Guarini
1,188
1,188 voters have an equal preference for

Kelly Clarkson

and

Justin Guarini
448
448 voters prefer

Justin Guarini

over

Kelly Clarkson
X = Carrie Underwood
Y = Bo Bice
2,704
2,704 voters prefer

Carrie Underwood

over

Bo Bice
1,155
1,155 voters have an equal preference for

Carrie Underwood

and

Bo Bice
2,479
2,479 voters prefer

Bo Bice

over

Carrie Underwood
X = Carrie Underwood
Y = Constantine Maroulis
3,188
3,188 voters prefer

Carrie Underwood

over

Constantine Maroulis
854
854 voters have an equal preference for

Carrie Underwood

and

Constantine Maroulis
2,296
2,296 voters prefer

Constantine Maroulis

over

Carrie Underwood
X = Carrie Underwood
Y = Ruben Studdard
3,548
3,548 voters prefer

Carrie Underwood

over

Ruben Studdard
1,233
1,233 voters have an equal preference for

Carrie Underwood

and

Ruben Studdard
1,557
1,557 voters prefer

Ruben Studdard

over

Carrie Underwood
X = Carrie Underwood
Y = Diana DeGarmo
3,826
3,826 voters prefer

Carrie Underwood

over

Diana DeGarmo
1,288
1,288 voters have an equal preference for

Carrie Underwood

and

Diana DeGarmo
1,224
1,224 voters prefer

Diana DeGarmo

over

Carrie Underwood
X = Carrie Underwood
Y = Fantasia Barrino
4,220
4,220 voters prefer

Carrie Underwood

over

Fantasia Barrino
1,275
1,275 voters have an equal preference for

Carrie Underwood

and

Fantasia Barrino
843
843 voters prefer

Fantasia Barrino

over

Carrie Underwood
X = Carrie Underwood
Y = Justin Guarini
4,294
4,294 voters prefer

Carrie Underwood

over

Justin Guarini
1,257
1,257 voters have an equal preference for

Carrie Underwood

and

Justin Guarini
787
787 voters prefer

Justin Guarini

over

Carrie Underwood
X = Bo Bice
Y = Constantine Maroulis
2,981
2,981 voter prefers

Bo Bice

over

Constantine Maroulis
959
959 voters have an equal preference for

Bo Bice

and

Constantine Maroulis
2,398
2,398 voters prefer

Constantine Maroulis

over

Bo Bice
X = Bo Bice
Y = Ruben Studdard
3,488
3,488 voters prefer

Bo Bice

over

Ruben Studdard
1,248
1,248 voters have an equal preference for

Bo Bice

and

Ruben Studdard
1,602
1,602 voters prefer

Ruben Studdard

over

Bo Bice
X = Bo Bice
Y = Diana DeGarmo
3,602
3,602 voters prefer

Bo Bice

over

Diana DeGarmo
1,248
1,248 voters have an equal preference for

Bo Bice

and

Diana DeGarmo
1,488
1,488 voters prefer

Diana DeGarmo

over

Bo Bice
X = Bo Bice
Y = Fantasia Barrino
4,317
4,317 voters prefer

Bo Bice

over

Fantasia Barrino
1,287
1,287 voters have an equal preference for

Bo Bice

and

Fantasia Barrino
734
734 voters prefer

Fantasia Barrino

over

Bo Bice
X = Bo Bice
Y = Justin Guarini
4,346
4,346 voters prefer

Bo Bice

over

Justin Guarini
1,306
1,306 voters have an equal preference for

Bo Bice

and

Justin Guarini
686
686 voters prefer

Justin Guarini

over

Bo Bice
X = Constantine Maroulis
Y = Ruben Studdard
3,054
3,054 voters prefer

Constantine Maroulis

over

Ruben Studdard
998
998 voters have an equal preference for

Constantine Maroulis

and

Ruben Studdard
2,286
2,286 voters prefer

Ruben Studdard

over

Constantine Maroulis
X = Constantine Maroulis
Y = Diana DeGarmo
3,161
3,161 voter prefers

Constantine Maroulis

over

Diana DeGarmo
1,028
1,028 voters have an equal preference for

Constantine Maroulis

and

Diana DeGarmo
2,149
2,149 voters prefer

Diana DeGarmo

over

Constantine Maroulis
X = Constantine Maroulis
Y = Fantasia Barrino
4,089
4,089 voters prefer

Constantine Maroulis

over

Fantasia Barrino
1,098
1,098 voters have an equal preference for

Constantine Maroulis

and

Fantasia Barrino
1,151
1,151 voter prefers

Fantasia Barrino

over

Constantine Maroulis
X = Constantine Maroulis
Y = Justin Guarini
4,171
4,171 voter prefers

Constantine Maroulis

over

Justin Guarini
1,122
1,122 voters have an equal preference for

Constantine Maroulis

and

Justin Guarini
1,045
1,045 voters prefer

Justin Guarini

over

Constantine Maroulis
X = Ruben Studdard
Y = Diana DeGarmo
2,626
2,626 voters prefer

Ruben Studdard

over

Diana DeGarmo
1,421
1,421 voter has an equal preference for

Ruben Studdard

and

Diana DeGarmo
2,291
2,291 voter prefers

Diana DeGarmo

over

Ruben Studdard
X = Ruben Studdard
Y = Fantasia Barrino
3,571
3,571 voter prefers

Ruben Studdard

over

Fantasia Barrino
1,508
1,508 voters have an equal preference for

Ruben Studdard

and

Fantasia Barrino
1,259
1,259 voters prefer

Fantasia Barrino

over

Ruben Studdard
X = Ruben Studdard
Y = Justin Guarini
3,682
3,682 voters prefer

Ruben Studdard

over

Justin Guarini
1,528
1,528 voters have an equal preference for

Ruben Studdard

and

Justin Guarini
1,128
1,128 voters prefer

Justin Guarini

over

Ruben Studdard
X = Diana DeGarmo
Y = Fantasia Barrino
3,397
3,397 voters prefer

Diana DeGarmo

over

Fantasia Barrino
1,506
1,506 voters have an equal preference for

Diana DeGarmo

and

Fantasia Barrino
1,435
1,435 voters prefer

Fantasia Barrino

over

Diana DeGarmo
X = Diana DeGarmo
Y = Justin Guarini
3,764
3,764 voters prefer

Diana DeGarmo

over

Justin Guarini
1,517
1,517 voters have an equal preference for

Diana DeGarmo

and

Justin Guarini
1,057
1,057 voters prefer

Justin Guarini

over

Diana DeGarmo
X = Fantasia Barrino
Y = Justin Guarini
2,438
2,438 voters prefer

Fantasia Barrino

over

Justin Guarini
1,633
1,633 voters have an equal preference for

Fantasia Barrino

and

Justin Guarini
2,267
2,267 voters prefer

Justin Guarini

over

Fantasia Barrino
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 144,919
Number of all possible valid sequences (without ties): 362,880
First sequence:
  1. Carrie Underwood
  2. Bo Bice
  3. Constantine Maroulis
  4. Fantasia Barrino
  5. Diana DeGarmo
  6. Ruben Studdard
  7. Clay Aiken
  8. Kelly Clarkson
  9. Justin Guarini
Last sequence:
  1. Justin Guarini
  2. Kelly Clarkson
  3. Clay Aiken
  4. Ruben Studdard
  5. Diana DeGarmo
  6. Fantasia Barrino
  7. Constantine Maroulis
  8. Bo Bice
  9. Carrie Underwood
© Copyright 2006 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 x55
  • 1&2&3&4&5&6&7&8,9 x1
  • 1&2&3&4&5&6&8&9,7 x1
  • 1&2&3&4&7&8,5&6&9 x2
  • 1&2&3&7&8,4&5&6&9 x1
  • 1&2,3&4&5&6&7&8&9 x1
  • 1&3&8,2&7,4&5,6&9 x1
  • 1&4&7&8,2&5,3&6,9 x1
  • 1&4&7&8,2&5,3,6&9 x1
  • 1&4&7&8,2&6&9,5,3 x1
  • 1&4&7&8,3&6,2,5,9 x1
  • 1&4&7&8,6,3&5,2,9 x2
  • 1&4&8,2&7&9,3&5&6 x1
  • 1&5&6&8,2&7,3&4&9 x1
  • 1&5&6&8,2,9,3&4&7 x1
  • 1&5&7&8,2&3&4&6&9 x2
  • 1&5&7&8,2&4&6&9,3 x4
  • 1&5&7&8,2&9,4,3&6 x1
  • 1&5&7&8,2,3&6,4,9 x1
  • 1&5&7&8,2,3,9,4&6 x1
  • 1&5&7&8,3&4&6&9,2 x1
  • 1&5&7&8,3,2,9,6,4 x1
  • 1&5&7&8,4&6&9,2,3 x1
  • 1&5&7&8,4&6,9,2,3 x1
  • 1&5&7&8,6,2&9,4,3 x1
  • 1&5&7&8,6,2,9,3&4 x1
  • 1&5&7,2&4&6&8,3&9 x1
  • 1&5&7,2&6&9,3&4&8 x1
  • 1&5&7,3&4&6&8,2&9 x1
  • 1&5&7,6,3,2&9,4&8 x1
  • 1&5&7,9,6&8,2,3&4 x1
  • 1&6&8,4&7,5,9,2&3 x1
  • 1&7&8,2&3&4&5&6&9 x2
  • 1&7&8,2&3&5,4&6&9 x1
  • 1&7&8,2&5&6,3&9,4 x1
  • 1&7&8,2,3,6,5,4,9 x1
  • 1&7&8,2,6,9,3&4&5 x1
  • 1&7&8,3&5,6,2,4&9 x1
  • 1&7&8,3&6&9,2,4,5 x1
  • 1&7&8,3,2,9,5,4&6 x1
  • 1&7&8,3,5&6&9,2,4 x1
  • 1&7&8,6&9,5,2,3,4 x1
  • 1&7&8,6,2&9,3,5,4 x1
  • 1&7&9,5&8,2,3&4&6 x1
  • 1&7,2&4&8,3&5&6,9 x1
  • 1&7,2&5&8,6,3&4,9 x1
  • 1&7,2&8,5,6,3&4&9 x1
  • 1&7,2,3&8,6&9,4&5 x2
  • 1&7,2,3,5,8,9,6,4 x1
  • 1&7,5&8,2&3&4&6&9 x1
  • [Remaining ballots not listed]

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