Two finite sets have N and M 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 test. Then the value of M and N are
A
7, 6
B
6, 4
C
7, 4
D
6, 3
Answer:
The correct option is B. 6, 4
Note
Let A and B be two sets having m and n numbers of elements respectively
Number of subsets of A = 2m
Number of subsets of B = 2n
Now, according to question
2m – 2n = 48
⇒ 2n(2m – n – 1) = 24(22 – 1)
So, n = 4
and m – n = 2
⇒ m – 4 = 2
⇒ m = 2 + 4
⇒ m = 6