Question

Two finite set have m and n elements. The total no of subset of fitst set is 56more than total no of sibset of second set .Find the value of m and n

Answer 1

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

according to question

2m-2n=56

2n(2m-n-1)=23(23-1)

therefore,

n=3 and m-n=3

m=6

Answer 2

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