First slide

Introduction to Relations (XI) on Sets

Question

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

Easy

A

$2^{9}$
B

$6$
C

$8$
D

None of these

Solution

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

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