Let A = {1, 2, 3}. Then, the number of equivalence relations containing (1, 2) is

If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is

Let R be the relation on the set A = {1, 2, 3, 4} given by

R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Then,

The relation R = {(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is

S is a relation over the set R of all real numbers and its is given by (a, b) ϵ S ⬄ ab ≥ 0. Then, S is