Find the number of NON REFLEXIVE relations defined on a set with 3 elements.
Please answer with reference to Class 12 CBSE Mathematics Chapter: Relations and Functions
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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 2
n
2
−n
.
Here, n=3
Therefore, the total number of reflexive relations from set A to A
=2
3
2
−3
=2
6
=64
Explanation:
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