Let $A$ and $B$ be two sets such that the Cartesian product $A \times B$ consists of four elements. If two elements of $A \times B$ are $(1,4)$ and $(4,1)$, then

Question and options

Let

A

and

B

be two sets such that the Cartesian product

A \times B

consists of four elements. If two elements of

A \times B

are

(1,4)

and

(4,1)

, then

Correct answer: D - $A \times B=B \times A$

(1,4),(4,1) in A x B means 1,4 in A and 4,1 in B; |A||B|=4 forces A=B={1,4}, so A x B = B x A.