Q.

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

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a

29

b

6

c

8

d

None of these

answer is A.

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Detailed Solution

nA×A=n(A)×n(A)=32=9So, 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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Let A=1, 2, 3. The total number of distinct relations that can be defined over A is