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

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

Relations and Functions

Solution:

$\because n\left(A \times A\right)=n\left(A\right) \times n\left(A\right)$
$=3^{2}=9$. So, the total number of subsets of $A \times A$ is $2^{9}$.