Perform algebraic set operations in the following formulated mathematical

problems.

i. Let A and B be two non-empty finite sets. If cardinalities of the sets A, B, and

A B are 72, 28 and 13 respectively, find the cardinality of the set A B .

ii. If n( A B )=45, n( A B )=110 and n( AB )=15, then find n(B).

iii. If n(A)=33, n(B)=36 and n(C)=28, find n( ABC).