The maximum number of equivalence relations on the set are

Maths Relations and Functions NCERT Exemplar Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

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The correct answer is:

The smallest equivalence relation is the identity relation

Then, two ordered pairs of two distinct elements can be added to give three more equivalence relations.

Similarly and .

Finally the largest equivalence relation, that is the universal relation.

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