Question

If a set $A$ has $n$ elements, then the number of relations on $A$ is

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

Answer 1

Answer: (D)

$2 n^2$

Answer 2

If a set $A$ has n elements then number of relations on $A$ is given by $2^{n^2}$.