Question

For two sets $A=\{1,2,3\}\&B=\{a,b,c\},$ select the correct statements.

Answer 1

Given: $A=\{1,2,3\}\&B=\{a,b,c\}$
Thus, $A\times B=\left\{\right(1,a),(1,b),(1,c),(2,a),(2,b),(2,c),(3,a),(3,b),(3,c\left)\right\}$
And, similarly:
$B\times A=\left\{\right(a,1),(a,2),(a,3),(b,1),(b,2),(b,3),(c,1),(c,2),(c,3),\}$
Since, $A\ne B\Rightarrow A\times B\ne B\times A$
Also, $n(A\times B)=n(B\times A)$