Question

Did I do the Cartesian product of sets correctly? http://i.stack.imgur.com/CcNsJ.jpg

Answer 1

you want the cartesian product of
{ a,b } x { b,a} x { a,b } ?

Answer 2

yes

Answer 3

ok lets work from left to right

Answer 4

{ a,b } x { b,a} x { a,b }
= ( { a,b } x { b,a} ) x { a,b }
= { (a,b) , (a,a) (b,b) (b,a) } x { a , b }