Two finite sets have m and n elements. The total number of first set is 56 more than the total number of subsets of the second set. Find the values of m and n.

Asked by Prince Sonu | 24th Jul, 2013, 08:23: PM

Expert Answer:

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

Answered by  | 25th Jul, 2013, 09:22: AM

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