Question

If $A=\{a,b,c\}$ , $B=\{1,2\}$ , then find $A\times B,B\times AandA\times A$

Answer 1

$A=\{a,b,c\}$

$B=\{1,2\}$

$A\times B=\left\{\right(a,1),(a,2),(b,1),(b,2),(c,1),(c,2\left)\right\}$

$B\times A=\left\{\right(1,a),(1,b),(1,c),(2,a),(2,b),(2,c\left)\right\}$

$A\times A=\left\{\right(a,a),(a,b),(a,c),(b,a),(b,b),(b,c),(c,a),(c,b),(c,c\left)\right\}$