Question

Two sets A and B contains a and b elements respectively. If power set of A contains 16 more elements than that of  B, value of ‘b’ and ‘a’ are _______

(a) 4, 5

(b) 6, 7

(c) 2, 3

(d) None of the mentioned

I have been asked this question in homework.

Origin of the question is Set Operations in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Right answer is (a) 4, 5

For explanation: 32-16=16, hence a=5, b=4.