Number of reflexive relations of a set with four elements is equal to

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1.Relation and Function

medium

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

A

${2^{16}}$

B

${2^4}$

C

${2^8}$

D

${2^{12}}$

Solution

(d) Total number of reflexive relations in a set with $n$ elements $ = {2^n}$.

Therefore, total number of reflexive relation set with $4$ elements $ = {2^4}$.

Standard 12

Mathematics

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(JEE MAIN-2022)