Consider the relation R on the set 
defined by 
if and only if 
. Then among the statements :
(I) The number of elements in R is 17
(II) R is an equivalence relation
Text Solution
Verified by ExpertsA
Reflexive If 
It is reflexive relation
Symmetric If 
i.e. If 
and 
Therefore it is symmetric relation
Transitive 
But 
Hence it is not transitive
It is not an equivalence relation.
Check Number of elements in R
each can be filled by 5 ways
∴ total elements 
But out of these
are not in relation.
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