How to find the maximum number of relations ( examples)

A set A has 5 element. Then the maximum number of relations on A (including empty relation) is

If A={1,2,3} then the maximum number of equivalence relations on A is

Discuss the relation between the number of electron filled into the sub energy levels of an orbit and the maximum number of elements present in a period.

If A = {(a, b, c, l, m, n}, then the maximum number of elements in any relation on A, is

If A = {(a, b, c, l, m, n}, then the maximum number of elements in any relation on A, is