Question

If R is a relation on a finite set having n elements, then the number of relations on A is :

• A. $2^n$
• B. $2^{n^2}$
• C. $n^2$
• D. $n^n$

Answer 1

The correct option is B $2^{n^2}$

Here, the required number of relations on A can be found out by the formula $2^{n^2}$.

Hence, option B is correct.