its exactly 27 shades and 6 bronzer and blush
I don't quite understand what you mean. The 3 palettes pop out so you can put one in the empty travelling palette case. In total, there IS a typo for the blush and bronzer numbers: there is 1 blush and 1 bronzer in each palette set, so in total you get 3 blushes and 3 bronzers, although in my opinion 2/3 of those 'bronzers' can be used as a peachy blush too.
by the way, because the description doesn't say this, in case anyone else wants to know, the tiny palette case inside that pops out also contains a mirror! and it's a full mirror, extends all the way to the edges, so that's pretty awesome :)