Question

Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A is

• A. $2^9$
• B. 6
• C. 8
• D. None of these

Answer 1

The correct option is A $2^9$

n. (A $\times$ A) = n (A) = $3^2$ = 9. So, the total number of subsets of A $\times$ A is $2^9$ and a subset of A $\times$ A is relation over
the set A.