On November 19th 2006, I set out with a friend to buy a Wii on launch day. After futilely showing up at about five stores, we took a chance at this small electronic boutique with ten people waiting outside. After getting into line at eleventh place, I was hearing murmurs of this place only having ten Wiis. We decided to wait the hour and a half and hope for an extra Wii. Five minutes to 11:00 am, this girl that was second in line with her boyfriend decided she was hungry and went to get a bite. Much to my happiness, when the guy came out of the store to tag who would get a Wii, she wasn't there and I got the tenth and final Wii.
Since then, I have only mildly played it. I finished Twilight Princess, perfected my power serve in Wii Sports Tennis, and made my share of Miis. Though, this will change a bit when World of Goo releases. Recently, after browsing the Check Mii Out Channel, I started thinking about how many unique Miis there could be. I started counting the options, did the math, and here are the results.
Options
| 1 | Genders | 2 |
| 2 | Clothing Colors | 12 |
| 3 | Heights | 10 |
| 4 | Weights | 10 |
| 5 | Face Shapes | 8 |
| 6 | Makeup Types | 12 |
| 7 | Skin Colors | 6 |
| 8 | Hair Styles | 72 |
| 9 | Hair Parts | 2 |
| 10 | Hair Colors | 8 |
| 11 | Eyebrows | 24 |
| 12 | Eyebrow Colors | 8 |
| 13 | Eybrow Vertical Steps | 16 |
| 14 | Eyebrow Size Steps | 9 |
| 15 | Eyebrow Rotation Steps | 12 |
| 16 | Eyebrow Horizontal Steps | 13 |
| 17 | Eye Types | 42 |
| 18 | Eye Colors | 6 |
| 19 | Eye Vertical Steps | 19 |
| 20 | Eye Size Steps | 8 |
| 21 | Eye Rotation Steps | 8 |
| 22 | Eye Horizontal Steps | 13 |
| 23 | Noses | 12 |
| 24 | Nose Vertical Steps | 19 |
| 25 | Nose Sizes | 9 |
| 26 | Lips | 24 |
| 27 | Lips Colors | 3 |
| 28 | Lips Vertical Steps | 19 |
| 29 | Lips Sizes | 9 |
| 30 | Glasses | 9 |
| 31 | Glasses Colors | 6 |
| 32 | Glasses Vertical Steps | 21 |
| 33 | Glasses Sizes | 8 |
| 34 | Mustaches | 4 |
| 35 | Mustache Colors | 8 |
| 36 | Mustache Vertical Steps | 17 |
| 37 | Mustache Sizes | 9 |
| 38 | Moles | 2 |
| 39 | Mole Vertical Steps | 31 |
| 40 | Mole Sizes | 9 |
| 41 | Mole Horizontal Steps | 17 |
| 42 | Goatee Types | 4 |
| 43 | Goatee Colors | 8 |
| Total | 568 |
Exceptions
1 hair style (bald) has no color or part.
49 hair styles have no part.
1 eyebrow style(none) has no color, vertical step, size, rotation or horizontal step.
7 eye types have no color.
17 lips have no color.
1 glasses type (none) has no color, vertical step, or size.
1 mustache type (none) has no color, vertical step, or size.
1 mole (none) has no vertical step, size, or horizontal step.
1 goatee type (none) has no color.
Combinations
To determine the number of distinct combinations I used the formula: 568! / 43! * (568-43)!. The factorial results are rather large so the precision is preferably limited since showing you results more than fifty digits long would be a bit unwieldy. I performed these calculations using Windows' Calculator.
568! = 3.6890690292812873468786451194959e+1319
43! = 6.0415263063373835637355132068514e+52
(568 - 43)! = 6.8908026240415422754382352913041e+1201
43! * (568 - 43)! = 4.1630965324925649240168357519319e+1254
568! / 43! * (568-43)! = 8.8613583674758947813475143744029e+64
