Question

Two finite set having m and n elements. The total number of subsets of first set is 56 more than the total number of subsets of second set. The values of m and n are
1. 7,6
2. 6,3
3. 5,1
4. 8,7​

Answer 1

The number of subsets of a set with p elements is given by 2^p.This way,we have the following equation:

2^m = 56+2^n

That tell us that 2^m > 56 => m >= 6

Let's make m=6 for convenience.Hence,56+2^n=64 <=> n=3