Question

The number of elements in power set of A exceeds the number of elements in power set B by 14. Find the number of elements in A and B.

Answer 1

No. of elements in power set of A be 2^n

No. of elements in power set of B be 2^m

2^m - 2^n = 14

This happens when m = 4 and n = 1 because only then the equation will be 16 - 2 which is 14.

Therefore A has 4 elements, B has 1 element.

Hope it helps ;-)