Guild Wars 2

I was wondering how many Armor set looks there are for one character/race that a player can pic, considering thatthe armor are divided by 3 type (ligh, medium, heavy) and that one character can wear only one type of each depending on its profession ?
I know that we have:

-racial armor set ( 3 different look divided per rank 35 -60-80)

- 8 different dungeons look (1 x each dungeons)

- Faction armor look ( 3 different faction look, but you can just wear the one of the faction you join , so 1 look )

how many more armor looks there are?

There are various generic sets of armor for each category (light, medium, heavy). You can preview most of these by going to the ‘Heart of the Mists’ PVP hub and checking them out in one of the PVP lockers.