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Question

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


  1. 29

  2. None of these

  3. 6

  4. 8


Solution

The correct option is A

29


n ( A × A) = n(A)n(A) = 32 = 9 

So, the total number of subsets of A × A is 29 

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

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