#### Answer

a.) I, III, IV
b.) IV
c.) no, because the regions of (AnB)' and A'nB' are always different.

#### Work Step by Step

a) Set (AnB)' represents all the regions belongs to universal set U that does not belongs to AnB. So, The regions I, III, IV belongs to the set (AnB)'.
b) Set A' represents all the regions belongs to universal set U that does not belongs to A. So, The regions III & IV represents the set A'. Set B' represents all the regions belongs to universal set U that does not belongs to B. So, The regions I and IV represents the set B'. The set A'nB' represents all common regions of set A' and set B'. So, The region IV represents A'nB'.
c) Based on parts a and b (AnB)' and A'nB' will never equal to each other, because the regions of (AnB)' and A'nB' are always different.