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

Answer:

option b is the correct answer

Answer 2

Answer:

Option c is correct .

Given

1st set = A = m (let)

2nd set = B = n (let)

Hence

P(A) = 2^m

P(B) = 2^n

Now A.T.Q. ,

2^m = 2^n + 48

2^m - 2^n = 48

2^m - 2^n = 64 - 16

Now compairing both sides ,

2^m = 64 2^n = 16

m = 6 n = 4

pls make it brainliest