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VoteFair Ranking Results calculated at  www.VoteFair.org 2009-February-24  2:01

Poll title:

     American Idol, Season 8, Week 1, Group 1    

Question (number 1) title:

     Who is your favorite, second-favorite, etc., singer in this group?    

The most preferred and most representative choice is:

    Danny Gokey

Overall popularity ranking:

     
Popularity Choice VoteFair
ranking
score		 Traditional
vote count
(for comparison)
First-most popular Danny Gokey Ranking score is 81 for Danny Gokey 320 voters marked Danny Gokey as their first choice
Second-most popular Alexis Grace Ranking score is 65 for Alexis Grace 53 voters marked Alexis Grace as their first choice
Third-most popular Anoop Desai Ranking score is 57 for Anoop Desai 64 voters marked Anoop Desai as their first choice
Fourth-most popular Ricky Braddy Ranking score is 44 for Ricky Braddy 23 voters marked Ricky Braddy as their first choice
Fifth-most popular Michael Sarver Ranking score is 37 for Michael Sarver 12 voters marked Michael Sarver as their first choice
Sixth-most popular Ann Marie Boskovich Ranking score is 28 for Ann Marie Boskovich 20 voters marked Ann Marie Boskovich as their first choice
Seventh-most popular Tatiana Nicole Del Toro Ranking score is 20 for Tatiana Nicole Del Toro 21 voters marked Tatiana Nicole Del Toro as their first choice
Eighth-most popular Brent Keith Ranking score is 18 for Brent Keith 5 voters marked Brent Keith as their first choice
Ninth-most popular Jackie Tohn Ranking score is 13 for Jackie Tohn 4 voters marked Jackie Tohn as their first choice
Tenth-most popular Stephen Fowler Ranking score is 8 for Stephen Fowler 2 voters marked Stephen Fowler as their first choice
Eleventh-most popular Casey Carlson Ranking score is 4 for Casey Carlson 8 voters marked Casey Carlson as their first choice
Twelfth-most popular Stevie Wright Ranking score is 0 for Stevie Wright 7 voters marked Stevie Wright as their first choice

VoteFair representation Ranking

  

First-most representative choice is:

Danny Gokey

Second-most representative choice is:

Alexis Grace

Third-most representative choice is:

Anoop Desai

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 Danny Gokey
Instant runoff Danny Gokey
Majority Danny Gokey

(28 ballots ignored because they rank more than one choice as the most-preferred choice. )
Plurality Danny Gokey

(28 ballots ignored because they rank more than one choice as the most-preferred choice. )
Condorcet Danny Gokey
Borda count Danny Gokey
(205 ballots ignored because they rank more than one choice at the same preference level. )

Details of plurality results

  
Choice Vote count Percentage
Danny Gokey 320 59 320 voters marked Danny Gokey as their first choice
Anoop Desai 64 12 64 voters marked Anoop Desai as their first choice
Alexis Grace 53 10 53 voters marked Alexis Grace as their first choice
Ricky Braddy 23 4 23 voters marked Ricky Braddy as their first choice
Tatiana Nicole Del Toro 21 4 21 voters marked Tatiana Nicole Del Toro as their first choice
Ann Marie Boskovich 20 4 20 voters marked Ann Marie Boskovich as their first choice
Michael Sarver 12 2 12 voters marked Michael Sarver as their first choice
Casey Carlson 8 1 8 voters marked Casey Carlson as their first choice
Stevie Wright 7 1 7 voters marked Stevie Wright as their first choice
Brent Keith 5 1 5 voters marked Brent Keith as their first choice
Jackie Tohn 4 1 4 voters marked Jackie Tohn as their first choice
Stephen Fowler 2 0 2 voters marked Stephen Fowler as their first choice
(28 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: 567
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 = Danny Gokey
Y = Alexis Grace		 404
404 voters prefer Danny Gokey over Alexis Grace		 55
55 voters have an equal preference for Danny Gokey over Alexis Grace		 108
108 voters prefer Alexis Grace over Danny Gokey
X = Danny Gokey
Y = Anoop Desai		 416
416 voters prefer Danny Gokey over Anoop Desai		 39
39 voters have an equal preference for Danny Gokey over Anoop Desai		 112
112 voters prefer Anoop Desai over Danny Gokey
X = Danny Gokey
Y = Ricky Braddy		 454
454 voters prefer Danny Gokey over Ricky Braddy		 48
48 voters have an equal preference for Danny Gokey and Ricky Braddy		 65
65 voters prefer Ricky Braddy over Danny Gokey
X = Danny Gokey
Y = Michael Sarver		 470
470 voters prefer Danny Gokey over Michael Sarver		 51
51 voters have an equal preference for Danny Gokey and Michael Sarver		 46
46 voters prefer Michael Sarver over Danny Gokey
X = Danny Gokey
Y = Ann Marie Boskovich		 464
464 voters prefer Danny Gokey over Ann Marie Boskovich		 48
48 voters have an equal preference for Danny Gokey over Ann Marie Boskovich		 55
55 voters prefer Ann Marie Boskovich over Danny Gokey
X = Danny Gokey
Y = Tatiana Nicole Del Toro		 459
459 voters prefer Danny Gokey over Tatiana Nicole Del Toro		 48
48 voters have an equal preference for Danny Gokey over Tatiana Nicole Del Toro		 60
60 voters prefer Tatiana Nicole Del Toro over Danny Gokey
X = Danny Gokey
Y = Brent Keith		 474
474 voters prefer Danny Gokey over Brent Keith		 53
53 voters have an equal preference for Danny Gokey over Brent Keith		 40
40 voters prefer Brent Keith over Danny Gokey
X = Danny Gokey
Y = Jackie Tohn		 478
478 voters prefer Danny Gokey over Jackie Tohn		 48
48 voters have an equal preference for Danny Gokey over Jackie Tohn		 41
41 voters prefer Jackie Tohn over Danny Gokey
X = Danny Gokey
Y = Stephen Fowler		 491
491 voters prefer Danny Gokey over Stephen Fowler		 51
51 voters have an equal preference for Danny Gokey and Stephen Fowler		 25
25 voters prefer Stephen Fowler over Danny Gokey
X = Danny Gokey
Y = Casey Carlson		 479
479 voters prefer Danny Gokey over Casey Carlson		 46
46 voters have an equal preference for Danny Gokey over Casey Carlson		 42
42 voters prefer Casey Carlson over Danny Gokey
X = Danny Gokey
Y = Stevie Wright		 482
482 voters prefer Danny Gokey over Stevie Wright		 56
56 voters have an equal preference for Danny Gokey over Stevie Wright		 29
29 voters prefer Stevie Wright over Danny Gokey
X = Alexis Grace
Y = Anoop Desai		 303
303 voters prefer Alexis Grace over Anoop Desai		 53
53 voters have an equal preference for Alexis Grace and Anoop Desai		 211
211 voters prefer Anoop Desai over Alexis Grace
X = Alexis Grace
Y = Ricky Braddy		 354
354 voters prefer Alexis Grace over Ricky Braddy		 70
70 voters have an equal preference for Alexis Grace and Ricky Braddy		 143
143 voters prefer Ricky Braddy over Alexis Grace
X = Alexis Grace
Y = Michael Sarver		 374
374 voters prefer Alexis Grace over Michael Sarver		 79
79 voters have an equal preference for Alexis Grace and Michael Sarver		 114
114 voters prefer Michael Sarver over Alexis Grace
X = Alexis Grace
Y = Ann Marie Boskovich		 413
413 voters prefer Alexis Grace over Ann Marie Boskovich		 73
73 voters have an equal preference for Alexis Grace and Ann Marie Boskovich		 81
81 voters prefer Ann Marie Boskovich over Alexis Grace
X = Alexis Grace
Y = Tatiana Nicole Del Toro		 421
421 voters prefer Alexis Grace over Tatiana Nicole Del Toro		 72
72 voters have an equal preference for Alexis Grace and Tatiana Nicole Del Toro		 74
74 voters prefer Tatiana Nicole Del Toro over Alexis Grace
X = Alexis Grace
Y = Brent Keith		 428
428 voters prefer Alexis Grace over Brent Keith		 82
82 voters have an equal preference for Alexis Grace and Brent Keith		 57
57 voters prefer Brent Keith over Alexis Grace
X = Alexis Grace
Y = Jackie Tohn		 436
436 voters prefer Alexis Grace over Jackie Tohn		 78
78 voters have an equal preference for Alexis Grace and Jackie Tohn		 53
53 voters prefer Jackie Tohn over Alexis Grace
X = Alexis Grace
Y = Stephen Fowler		 446
446 voters prefer Alexis Grace over Stephen Fowler		 76
76 voters have an equal preference for Alexis Grace and Stephen Fowler		 45
45 voters prefer Stephen Fowler over Alexis Grace
X = Alexis Grace
Y = Casey Carlson		 443
443 voters prefer Alexis Grace over Casey Carlson		 75
75 voters have an equal preference for Alexis Grace and Casey Carlson		 49
49 voters prefer Casey Carlson over Alexis Grace
X = Alexis Grace
Y = Stevie Wright		 446
446 voters prefer Alexis Grace over Stevie Wright		 81
81 voters have an equal preference for Alexis Grace and Stevie Wright		 40
40 voters prefer Stevie Wright over Alexis Grace
X = Anoop Desai
Y = Ricky Braddy		 319
319 voters prefer Anoop Desai over Ricky Braddy		 70
70 voters have an equal preference for Anoop Desai and Ricky Braddy		 178
178 voters prefer Ricky Braddy over Anoop Desai
X = Anoop Desai
Y = Michael Sarver		 356
356 voters prefer Anoop Desai over Michael Sarver		 76
76 voters have an equal preference for Anoop Desai and Michael Sarver		 135
135 voters prefer Michael Sarver over Anoop Desai
X = Anoop Desai
Y = Ann Marie Boskovich		 375
375 voters prefer Anoop Desai over Ann Marie Boskovich		 79
79 voters have an equal preference for Anoop Desai over Ann Marie Boskovich		 113
113 voters prefer Ann Marie Boskovich over Anoop Desai
X = Anoop Desai
Y = Tatiana Nicole Del Toro		 380
380 voters prefer Anoop Desai over Tatiana Nicole Del Toro		 68
68 voters have an equal preference for Anoop Desai over Tatiana Nicole Del Toro		 119
119 voters prefer Tatiana Nicole Del Toro over Anoop Desai
X = Anoop Desai
Y = Brent Keith		 408
408 voters prefer Anoop Desai over Brent Keith		 84
84 voters have an equal preference for Anoop Desai and Brent Keith		 75
75 voters prefer Brent Keith over Anoop Desai
X = Anoop Desai
Y = Jackie Tohn		 397
397 voters prefer Anoop Desai over Jackie Tohn		 83
83 voters have an equal preference for Anoop Desai over Jackie Tohn		 87
87 voters prefer Jackie Tohn over Anoop Desai
X = Anoop Desai
Y = Stephen Fowler		 439
439 voters prefer Anoop Desai over Stephen Fowler		 89
89 voters have an equal preference for Anoop Desai and Stephen Fowler		 39
39 voters prefer Stephen Fowler over Anoop Desai
X = Anoop Desai
Y = Casey Carlson		 429
429 voters prefer Anoop Desai over Casey Carlson		 80
80 voters have an equal preference for Anoop Desai over Casey Carlson		 58
58 voters prefer Casey Carlson over Anoop Desai
X = Anoop Desai
Y = Stevie Wright		 430
430 voters prefer Anoop Desai over Stevie Wright		 90
90 voters have an equal preference for Anoop Desai over Stevie Wright		 47
47 voters prefer Stevie Wright over Anoop Desai
X = Ricky Braddy
Y = Michael Sarver		 254
254 voters prefer Ricky Braddy over Michael Sarver		 104
104 voters have an equal preference for Ricky Braddy over Michael Sarver		 209
209 voters prefer Michael Sarver over Ricky Braddy
X = Ricky Braddy
Y = Ann Marie Boskovich		 308
308 voters prefer Ricky Braddy over Ann Marie Boskovich		 97
97 voters have an equal preference for Ricky Braddy over Ann Marie Boskovich		 162
162 voters prefer Ann Marie Boskovich over Ricky Braddy
X = Ricky Braddy
Y = Tatiana Nicole Del Toro		 335
335 voters prefer Ricky Braddy over Tatiana Nicole Del Toro		 95
95 voters have an equal preference for Ricky Braddy over Tatiana Nicole Del Toro		 137
137 voters prefer Tatiana Nicole Del Toro over Ricky Braddy
X = Ricky Braddy
Y = Brent Keith		 341
341 voters prefer Ricky Braddy over Brent Keith		 111
111 voters have an equal preference for Ricky Braddy over Brent Keith		 115
115 voters prefer Brent Keith over Ricky Braddy
X = Ricky Braddy
Y = Jackie Tohn		 349
349 voters prefer Ricky Braddy over Jackie Tohn		 107
107 voters have an equal preference for Ricky Braddy over Jackie Tohn		 111
111 voters prefer Jackie Tohn over Ricky Braddy
X = Ricky Braddy
Y = Stephen Fowler		 403
403 voters prefer Ricky Braddy over Stephen Fowler		 112
112 voters have an equal preference for Ricky Braddy and Stephen Fowler		 52
52 voters prefer Stephen Fowler over Ricky Braddy
X = Ricky Braddy
Y = Casey Carlson		 386
386 voters prefer Ricky Braddy over Casey Carlson		 109
109 voters have an equal preference for Ricky Braddy over Casey Carlson		 72
72 voters prefer Casey Carlson over Ricky Braddy
X = Ricky Braddy
Y = Stevie Wright		 393
393 voters prefer Ricky Braddy over Stevie Wright		 113
113 voters have an equal preference for Ricky Braddy over Stevie Wright		 61
61 voters prefer Stevie Wright over Ricky Braddy
X = Michael Sarver
Y = Ann Marie Boskovich		 284
284 voters prefer Michael Sarver over Ann Marie Boskovich		 112
112 voters have an equal preference for Michael Sarver over Ann Marie Boskovich		 171
171 voters prefer Ann Marie Boskovich over Michael Sarver
X = Michael Sarver
Y = Tatiana Nicole Del Toro		 289
289 voters prefer Michael Sarver over Tatiana Nicole Del Toro		 110
110 voters have an equal preference for Michael Sarver over Tatiana Nicole Del Toro		 168
168 voters prefer Tatiana Nicole Del Toro over Michael Sarver
X = Michael Sarver
Y = Brent Keith		 300
300 voters prefer Michael Sarver over Brent Keith		 127
127 voters have an equal preference for Michael Sarver over Brent Keith		 140
140 voters prefer Brent Keith over Michael Sarver
X = Michael Sarver
Y = Jackie Tohn		 315
315 voters prefer Michael Sarver over Jackie Tohn		 123
123 voters have an equal preference for Michael Sarver over Jackie Tohn		 129
129 voters prefer Jackie Tohn over Michael Sarver
X = Michael Sarver
Y = Stephen Fowler		 372
372 voters prefer Michael Sarver over Stephen Fowler		 131
131 voters have an equal preference for Michael Sarver and Stephen Fowler		 64
64 voters prefer Stephen Fowler over Michael Sarver
X = Michael Sarver
Y = Casey Carlson		 364
364 voters prefer Michael Sarver over Casey Carlson		 122
122 voters have an equal preference for Michael Sarver over Casey Carlson		 81
81 voters prefer Casey Carlson over Michael Sarver
X = Michael Sarver
Y = Stevie Wright		 363
363 voters prefer Michael Sarver over Stevie Wright		 130
130 voters have an equal preference for Michael Sarver over Stevie Wright		 74
74 voters prefer Stevie Wright over Michael Sarver
X = Ann Marie Boskovich
Y = Tatiana Nicole Del Toro		 252
252 voters prefer Ann Marie Boskovich over Tatiana Nicole Del Toro		 111
111 voters have an equal preference for Ann Marie Boskovich and Tatiana Nicole Del Toro		 204
204 voters prefer Tatiana Nicole Del Toro over Ann Marie Boskovich
X = Ann Marie Boskovich
Y = Brent Keith		 256
256 voters prefer Ann Marie Boskovich over Brent Keith		 128
128 voters have an equal preference for Ann Marie Boskovich and Brent Keith		 183
183 voters prefer Brent Keith over Ann Marie Boskovich
X = Ann Marie Boskovich
Y = Jackie Tohn		 257
257 voters prefer Ann Marie Boskovich over Jackie Tohn		 130
130 voters have an equal preference for Ann Marie Boskovich and Jackie Tohn		 180
180 voters prefer Jackie Tohn over Ann Marie Boskovich
X = Ann Marie Boskovich
Y = Stephen Fowler		 299
299 voters prefer Ann Marie Boskovich over Stephen Fowler		 132
132 voters have an equal preference for Ann Marie Boskovich and Stephen Fowler		 136
136 voters prefer Stephen Fowler over Ann Marie Boskovich
X = Ann Marie Boskovich
Y = Casey Carlson		 338
338 voters prefer Ann Marie Boskovich over Casey Carlson		 132
132 voters have an equal preference for Ann Marie Boskovich and Casey Carlson		 97
97 voters prefer Casey Carlson over Ann Marie Boskovich
X = Ann Marie Boskovich
Y = Stevie Wright		 344
344 voters prefer Ann Marie Boskovich over Stevie Wright		 142
142 voters have an equal preference for Ann Marie Boskovich and Stevie Wright		 81
81 voters prefer Stevie Wright over Ann Marie Boskovich
X = Tatiana Nicole Del Toro
Y = Brent Keith		 225
225 voters prefer Tatiana Nicole Del Toro over Brent Keith		 120
120 voters have an equal preference for Tatiana Nicole Del Toro and Brent Keith		 222
222 voters prefer Brent Keith over Tatiana Nicole Del Toro
X = Tatiana Nicole Del Toro
Y = Jackie Tohn		 231
231 voters prefer Tatiana Nicole Del Toro over Jackie Tohn		 123
123 voters have an equal preference for Tatiana Nicole Del Toro over Jackie Tohn		 213
213 voters prefer Jackie Tohn over Tatiana Nicole Del Toro
X = Tatiana Nicole Del Toro
Y = Stephen Fowler		 263
263 voters prefer Tatiana Nicole Del Toro over Stephen Fowler		 125
125 voters have an equal preference for Tatiana Nicole Del Toro and Stephen Fowler		 179
179 voters prefer Stephen Fowler over Tatiana Nicole Del Toro
X = Tatiana Nicole Del Toro
Y = Casey Carlson		 269
269 voters prefer Tatiana Nicole Del Toro over Casey Carlson		 122
122 voters have an equal preference for Tatiana Nicole Del Toro over Casey Carlson		 176
176 voters prefer Casey Carlson over Tatiana Nicole Del Toro
X = Tatiana Nicole Del Toro
Y = Stevie Wright		 288
288 voters prefer Tatiana Nicole Del Toro over Stevie Wright		 128
128 voters have an equal preference for Tatiana Nicole Del Toro over Stevie Wright		 151
151 voters prefer Stevie Wright over Tatiana Nicole Del Toro
X = Brent Keith
Y = Jackie Tohn		 219
219 voters prefer Brent Keith over Jackie Tohn		 144
144 voters have an equal preference for Brent Keith over Jackie Tohn		 204
204 voters prefer Jackie Tohn over Brent Keith
X = Brent Keith
Y = Stephen Fowler		 291
291 voters prefer Brent Keith over Stephen Fowler		 145
145 voters have an equal preference for Brent Keith and Stephen Fowler		 131
131 voters prefer Stephen Fowler over Brent Keith
X = Brent Keith
Y = Casey Carlson		 293
293 voters prefer Brent Keith over Casey Carlson		 140
140 voters have an equal preference for Brent Keith over Casey Carlson		 134
134 voters prefer Casey Carlson over Brent Keith
X = Brent Keith
Y = Stevie Wright		 310
310 voters prefer Brent Keith over Stevie Wright		 150
150 voters have an equal preference for Brent Keith over Stevie Wright		 107
107 voters prefer Stevie Wright over Brent Keith
X = Jackie Tohn
Y = Stephen Fowler		 263
263 voters prefer Jackie Tohn over Stephen Fowler		 146
146 voters have an equal preference for Jackie Tohn and Stephen Fowler		 158
158 voters prefer Stephen Fowler over Jackie Tohn
X = Jackie Tohn
Y = Casey Carlson		 275
275 voters prefer Jackie Tohn over Casey Carlson		 141
141 voters have an equal preference for Jackie Tohn over Casey Carlson		 151
151 voters prefer Casey Carlson over Jackie Tohn
X = Jackie Tohn
Y = Stevie Wright		 303
303 voters prefer Jackie Tohn over Stevie Wright		 148
148 voters have an equal preference for Jackie Tohn and Stevie Wright		 116
116 voters prefer Stevie Wright over Jackie Tohn
X = Stephen Fowler
Y = Casey Carlson		 243
243 voters prefer Stephen Fowler over Casey Carlson		 144
144 voters have an equal preference for Stephen Fowler over Casey Carlson		 180
180 voters prefer Casey Carlson over Stephen Fowler
X = Stephen Fowler
Y = Stevie Wright		 272
272 voters prefer Stephen Fowler over Stevie Wright		 150
150 voters have an equal preference for Stephen Fowler over Stevie Wright		 145
145 voters prefer Stevie Wright over Stephen Fowler
X = Casey Carlson
Y = Stevie Wright		 252
252 voters prefer Casey Carlson over Stevie Wright		 153
153 voters have an equal preference for Casey Carlson and Stevie Wright		 162
162 voters prefer Stevie Wright over Casey Carlson
The highest score (which equals the sum of the bold underlined numbers, plus either tally number in any tied pair of choices) is: 23,467
Number of all possible valid sequences (without ties): 479,001,600
First sequence:
  1. Alexis Grace
  2. Ann Marie Boskovich
  3. Casey Carlson
  4. Jackie Tohn
  5. Stevie Wright
  6. Tatiana Nicole Del Toro
  7. Anoop Desai
  8. Brent Keith
  9. Danny Gokey
  10. Michael Sarver
  11. Ricky Braddy
  12. Stephen Fowler
Last sequence:
  1. Stephen Fowler
  2. Ricky Braddy
  3. Michael Sarver
  4. Danny Gokey
  5. Brent Keith
  6. Anoop Desai
  7. Tatiana Nicole Del Toro
  8. Stevie Wright
  9. Jackie Tohn
  10. Casey Carlson
  11. Ann Marie Boskovich
  12. Alexis Grace
© Copyright 2007 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 x10
  • 1&7&8&10,11,12,2&5&9,3,4,6 x1
  • 1&7,11,10,5,3,4&8&12,2&6&9 x1
  • 1&7,8,9,5,11,10,2&4,12,3&6 x1
  • 1&8&9,5&10,3&11,2&4&7&12,6 x1
  • 1&9&10,7,3&8&11,6,4&12,2&5 x1
  • 1&9&11,2&3&4&5&6&7&8&10&12 x1
  • 1&9,10,8,2&3&4&5&6&7&11&12 x1
  • 1&9,11,2&3&4&5&6&7&8&10&12 x2
  • 1&9,11,7,2&3&4&5&6&8&10&12 x1
  • 1&9,7,11,2,3,4,5,6,8,10,12 x1
  • 1,10,9,11,3,2,8,5,4,12,6,7 x1
  • 1,11,6,8,10,9,2,7,4,12,3,5 x1
  • 1,11,7,9,10,4,2,5,8,12,3,6 x1
  • 1,11,9,2&3&4&5&6&7&8&10&12 x1
  • 1,11,9,6,7,4,8,10,12,2,3,5 x1
  • 1,11,9,7&12,6,4,2,10,8,3,5 x1
  • 1,11,9,7,6,10,4,8,2,5,3,12 x1
  • 1,12,7,6,8,10,9,11,4,2,5,3 x1
  • 1,2,3,4&5&6&7&8&9&10&11&12 x1
  • 1,2,3,4,5,6,7,8,9,10,11,12 x1
  • 1,2,6,3&4&5&7&8&9&10&11&12 x1
  • 1,3,4,5,6,7,8,9,10,11,2&12 x1
  • 1,3,9,6,10,4,2,7,11,8,5,12 x1
  • 1,6,9,10,7,4,3,2,5,11,12,8 x1
  • 1,6,9,2&3&4&5&7&8&10&11&12 x2
  • 1,7,11,2,6,3,9,4,10,8,12,5 x1
  • 1,7,11,2,9,6,10,8,12,4,5,3 x1
  • 1,7,9,10,12,11,3,2,8,5,4,6 x1
  • 1,7,9,2&3&4&5&6&8&10&11&12 x2
  • 1,7,9,2,11,6,10,12,4,8,5,3 x1
  • 1,8,4,2&3&5&6&7&9&10&11&12 x1
  • 1,9,10,11,6,2&3&4&5&7&8&12 x1
  • 1,9,10,11,6,8,7,2,12,4,5,3 x1
  • 1,9,10,2&3&4&5&6&7&8&11&12 x1
  • 1,9,10,4&7,2&6,11,5,3,12,8 x1
  • 1,9,10,4,7,11,2,3,8,12,5,6 x1
  • 1,9,11,10,6,5,8,4,3,7,12,2 x1
  • 1,9,11,10,7,8,6,4,12,2,3,5 x1
  • 1,9,11,5,7,6,8,10,3,2,4,12 x1
  • 1,9,11,7,10,2&3&4&5&6&8&12 x1
  • 1,9,11,7,2,6,8,10,4,12,3,5 x1
  • 1,9,11,7,6,10,8,12,2,4,3,5 x1
  • 1,9,11,7,6,5,10,4,3,12,2,8 x1
  • 1,9,11,7,8,10,12,2,6,3,4,5 x1
  • 1,9,11,7,8,10,12,3,4,6,2,5 x2
  • 1,9,11,7,8,10,12,4,2,3,5,6 x1
  • 1,9,12,7,5,4,3,2,10,11,8,6 x1
  • 1,9,2&3&4&5&6&7&8&10&11&12 x2
  • 1,9,6,2&3&4&5&7&8&10&11&12 x2
  • [Remaining ballots not listed]

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Software version: 2007-Nov-3

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