Q. 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 the power set of the second set. Then, the value of $M$ and $N$ are
A) 7, 6
B) 6, 3
C) 6, 4
D) 7, 4
Explanation
(c)
According to question,
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2^{m} - 2^{n} = 48$
This is possible only if $m = 6$ and $n = 4$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.