How many reflexive relations are possible in a set A whose n(A)=3… - Vidyadip

MCQ

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

✓
$2^6$
B
$2^9$
C
$2^3$
D
8

✓

Answer

Correct option: A.

$2^6$

(a) : Number of reflexive relations on a set having $n$ elements $=2^{n(n-1)}$
So, required number of reflexive relations $=2^{3(3-1)}=2^6$

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