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

2⁹

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None of these

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Solution

The correct option is A
2⁹

n ( A × A) = n(A)n(A) = $3^{2}$ = 9

So, the total number of subsets of A × A is $2^{9}$

and a subset of A × A is a relation over the set A .

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