No Glee this week means that I now have energy to burn by putting math in my pop music fandom!

Let's see, we have earmuffs, turtleneck, jacket, belt, skirt, upper leggings, knee covering, lower leggings, boots, and gloves.
That's ten patches of color.
Assuming that the girls are wearing all possible colors, I count 25 available colors, give or take
But then, we take into account that there are 2 shades of yellow, green, pink, and red, with three shades of blue, and that you don't want those shades touching each other.
So if you want to wear an outfit that most resembles rainbow vomit(no wearing the same color for each patch of color, and no adjacent colors are variations of each other), you still have about
1322809488000 options to choose from.
(Actually, I'm not quite sure if my calculation logic is correct. Anyone want to confirm?)And technically there's more, since in the picture I see a few repeating colors on the girls, just not adjacent. Bleh, calculating that will take a brute force algorithm for me.

EDIT:
So, the image for their new advertising gig has been revealed
