Let A = {1, 2, 3}. Then, the number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is
(a) 1
(b) 2
(c) 3
(d) 4

Open in App

Solution

(a) 1

The required relation is R.
R = {(1, 2), (1, 3), (1, 1), (2, 2), (3, 3), (2, 1), (3, 1)}

Hence, there is only 1 such relation that is reflexive and symmetric, but not transitive.

Suggest Corrections

Similar questions

Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is

(A) 1 (B) 2 (C) 3 (D) 4

A = {1, 2, 3}

(1, 2)

(1, 3)

Let A={1,2,3}. Then, the number of relation containing (1,2) and (1,3) which are reflexive and symmetric but not transitive is
(a)1
(b)2
(c)3
(d)4

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}

A = {1, 2, 3}

Join BYJU'S Learning Program