The number of reflexive relations of a set with four element... | MATH - RELATIONS | SolveeIt | Solveeit

Today, August 18

Question

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

A

$2 ^ { 16 }$

B

$2 ^ { 12 }$

C

$2 ^ { 8 }$

D

$2 ^ { 4 }$

Answer

$2 ^ { 4 }$

Explanation

Solution

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

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