Question

Find the number of non-reflexive relations defined on a set with three elements. ​

Answer 1

Given, A=a,b,c

Here, the number of elements in set A is 3.

We know that, if set A has n elements, then total number of reflexive relations is 2ⁿ²-ⁿ

Here, n=3

Therefore, the total number of reflexive relations from set A to A

$= { {2}^{3} }^{2 - 3}$

=64

Answer 2

64

is The Correct Answer