JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

If a set

A

has

n

elements then the number of all relations on

A

View answer and explanation

Correct option: A

2^{n^2}

Option A (

2^{n^2}

) is correct because a relation on A is a subset of A x A, and if A has n elements, A x A has

n^2

elements, so there are

2^{n^2}

possible subsets.

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