In each case determine whether S is an equivalence relation on A. If it is not, determine which properties of an equivalence relation fail to hold.

a) A is the power set of {1,2,3,…,n}, aSb iff a and b have the same number of elements.

b) A is the power set of {1,2,3,…,n}, aSb iff a and b are disjoint.