Home Maths Set Theory and Relations Relations If is a relation from a finite set having …
Maths Set Theory and Relations Relations Single Correct MCQ
Published on: August 14, 2026

If is a relation from a finite set having elements to a finite set having elements, then the number of relations from to is

A
B

C
D

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The correct answer is:
A

Since we know that a relation from A to B consists of mn ordered pairs if they contain and elements respectively.

Each subset of those mn pairs will be a relation.
so, each pair has two choices, either to be in that particular relation or not.
So, we have a total of relations.

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