Order 1-2-3-4 gives Doctor.
Order 1-3-2-4 gives Scientist.
Order 1-3-4-2 gives [link|http://www.cmi-lmi.com/engineer.html|Engineer-Builder] - the one that you don't have.

I'll stop there.

I'm guessing that where you place 1 and 2 determines which category you get. (There are 12 categories, and 12 choices of where to place 1 and 2. Coincidence?) But I'm not interested enough to enumerate the rest right now.

Cheers,
Ben