Q. 74.2( 88 Votes )

Two finite sets h

Answer :

Let A and B be the sets having m and n elements. Then number of subsets of set A are 2m and of B are 2n.


According to the question,


2m – 2n = 56


2n (2m-n – 1) = 56


2n (2m-n – 1) = 8× 7


2n (2m-n – 1) = 23 × (23 – 1)


n = 3, m-n = 3


m-3 = 3


m = 6


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