Question

For two sets $A$ and $B$, $A\times B=B\times A$.

• A. True
• B. False

Answer 1

The correct option is B False

The given statement is false.

Example:-

Let us consider $A=\{1,2\}$ and $B=\{3,4\}$.

Now $A\times B=\left\{\right(1,3),(1,4),(2,3),(2,4\left)\right\}$......(1).

And $B\times A=\left\{\right(3,1),(3,2),(4,1),(4,2\left)\right\}$..........(2).

Form (1) and (2) it's evident that $A\times B\ne B\times A$.