Inputs:

abc def 123 74 hike bleh
def 123 75 129 deb bla

Outputs:

Enter the string elements of A separated by space :
abc def 123 74 hike bleh
Enter the string elements of B separated by space :
def 123 75 129 deb bla

1. The cardinality and roster of the intersection of A and B
def 123
Total 2 entries

2. The cardinality and roster of the union of A and B
abc def 123 74 hike bleh 75 129 deb bla
Total 10 entries

3. The cardinality and roster of the relative complement of A and B
abc 74 hike bleh
Total 4 entries

4. The cardinality and roster of the relative complement of B and B
75 129 deb bla
Total 4 entries

5. The cardinality and roster of the cross product of A and B
(abc x def) (abc x 123) (abc x 75) (abc x 129) (abc x deb) (abc x bla) (def x def) (def x 123) (def x 75) (def x 129) (def x deb) (def x bla) (123 x def) (123 x 123) (123 x 75) (123 x 129) (123 x deb) (123 x bla) (74 x def) (74 x 123) (74 x 75) (74 x 129) (74 x deb) (74 x bla) (hike x def) (hike x 123) (hike x 75) (hike x 129) (hike x deb) (hike x bla) (bleh x def) (bleh x 123) (bleh x 75) (bleh x 129) (bleh x deb) (bleh x bla)
Total 36 entries

6. The cardinality of the power set of the cross product of A and B
|P(A x B)| =  68719476736