Can a Democrat (like Obama) nominate somebody of a different political party (like a Republican) for a position like Attorney general?

Update: Not will he or would somebody do that, but is there any rule or something that prohibits that?
Update 2: @joe, that's not very nice. there are good democrats with some good ideas just like there are good republicans with some good ideas likewise with all parties and peoples.
Update 3: I didn't know presidents could do that, have done and that Obama has done that or even had somebody of a party currently incumbent. :)
13 answers 13