Ordered of pairs 2 sets

Question

Suppose there are two sets, A={a,b,c} and B={x,y} All ordered pairs in form of (element of A, element of B) All ordered pairs in form of (element of B, element of A)

Answer 1

$$A\times B = \{(a,x),(b,x),(c,x),(a,y),(b,y),(c,y)\}$$

$$B\times A= \{(x,a),(x,b),(x,c),(y,a),(y,b),(y,c)\}$$