Question

The number of reflexive relations in set $A=\{a,b,c\}$ is equal to

• A. $2^9$
• B. $2^8$
• C. $2^7$
• D. $2^6$

Answer 1

The correct option is D $2^6$

$A=\{a,b,c\}\left(\text{Given}\right)$

No. of elements $\left(n\right)=3$

Therefore,

No. of reflexive relations

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

Hence, this is the answer.