Question

The number of reflexive relations of a set with four elements is equal to

• A. $2^{16}$
• B. $2$
• C. $2^8$
• D. $2^4$

Answer 1

The correct option is D

$2^4$

Explanation for correct option

We know that for a set of $n$ elements, the total number of reflexive relation $=2^n$

Therefore, total number of reflexive relation for a set of $4$ elements is $=2^4$

Hence, the correct option is $\left(\mathrm{D}\right)$ $2^4$.