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Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second.What are the values of m and n? |
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 and n = 3 |
