Target Exam

CUET

Subject

Section B1

Chapter

Relations and Functions

Question:

How many reflexive relations are possible in a set $A$ whose $n(A) = 3$.

Options:

$2^9$

$2^3$

$2^6$

$2^2$

Correct Answer:

$2^6$

Explanation:

The correct answer is Option (3) → $2^6$ ##

Given, $n(A) = 3$

Total number of reflexive relations $= 2^{n(n-1)}$

$= 2^{3(3-1)} = 2^{3 \times 2} = 2^6$