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`

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

Let A = {1, 2, 3} Then number of relations containing (1, 2) a n d (1, 3) which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

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

Let A = {1, 2, 3} . Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

Let A = {1, 2, 3} . Then number of equivalence relations containing (1, 2) is (A) 1 (B) 2 (C) 3 (D) 4

If A = {1,2,3} and R = { (1,1}, ( 2,2), (3,3)} then R is reflexive, symmetric or transitive?

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being symmetric but neither reflexive nor transitive.

Check whether the relation R_1 in R defined by R_1 = {(a,b): a leb^3) is reflexive, symmetric ?

Let A={1,2,3,4} and R be a relation in A given by R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,1),(1,3)} . Then show that R is reflexive and symmetric but not transitive.

If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of being reflexive, symmetric and transitive.