Question

how many relations are possible in set A having 3 elements​

Answer 1

Answer:

• A relation is just a subset of A×A, and so there are 2n2 relations on A. So a 3-element set has 29 = 512 possible relations
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Answer 2

SOLUTION

TO DETERMINE

The number of relations possible in set A having 3 elements

EVALUATION

Here it is given that the set A have 3 elements

We know that a relation defined on a set A is a subset of A × A

The number of elements in A × A

= 3 × 3

= 9

Hence the required number of relations

$\sf \: = {2}^{9}$

$= 512$

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