Question

Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set.Then, the values of m and n are :

• A. 7,6
• B. 6,3
• C. 6,4
• D. 7,4

Answer 1

The correct option is C

6,4

ATQ:

$2^m-1=48+2^n-1\Rightarrow 2^m-2^n=48\Rightarrow 2^m-2^n=2^6-2^4$

By comparing we get : m = 6 and