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Question

A has m elements and B has n elements . No. of subsets differ by 112. Find the value of m and n?

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Solution

Total number of subsets of A = 2^m
Total number of subsets of B = 2ⁿ
a/q
2^m - 2ⁿ = 112
=> 128 – 16 = 112
=> 2⁷ – 2⁴ = 112
Thus m = 7 and n = 4

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