Supposedly, multiplying the counts of each attribute would give you the total.
6 skin tones
61 eyes
48 eyebrows
27 eyewear
69 noses
106 mouths
346 hair
16 accessories
(numbers obtained by selecting the list element, using $0.querySelectorAll('button').length in DevTools, so maybe not accurate, but seems like it is)
6*61*48*27*69*106*346*16 = 19,206,008,838,144
19 trillion options. Pretty good.