plz answer me. ....fast. .....this ques is related to relation........
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Relation R is symmetric
since
(1, 2), (2, 1) ∈ R and (1, 3), (3, 1) ∈ R.
But relation R is not transitive as
(3, 1), (1, 2) ∈ R,
but (3, 2) ∉ R.
Now,
if we add any two pairs (3, 2) and (2, 3)
(or both) to relation R,
then relation R will become transitive.
Hence,
the total number of desired relations is one.
since
(1, 2), (2, 1) ∈ R and (1, 3), (3, 1) ∈ R.
But relation R is not transitive as
(3, 1), (1, 2) ∈ R,
but (3, 2) ∉ R.
Now,
if we add any two pairs (3, 2) and (2, 3)
(or both) to relation R,
then relation R will become transitive.
Hence,
the total number of desired relations is one.
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