The maximum number of equivalence relations on the set `A={1,2,3}` is

The maximum number of equivalence relations on the set A={1,2,3,4} are

The maximum number of equivalence relations on the set A = {1, 2, 3} are

The maximum number of equivalence relations on the set A = {phi , {phi}, {{phi}}} are

The maximum number of equivalence relations can be defined on the set A={1,2,3} are

Show that the number of equivalence relations on the set {1,2,3} containing (1,2) and (2,1) is two.

Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

Show that the number of equivalence relation in the set {1,quad 2,quad 3} containing (1,quad 2) and (2,quad 1) is two.

Let R be the equivalence relation in the set A={0,1,2,3,4,5} given by R={(a,b):2 divides (a-b)}. Write the equivalence class [0]

If R is the smallest equivalence relation on the set {1, 2, 3, 4} such that {(1,2), (1,3)}sub R , then the number of elements in R is ______