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Two finite sets have m and n elements. The total number of subsets of first set is 56 more than the total number of subsets of the second set. Find the value of m and n. |
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 questions, 2m - 2n = 56 = × 7 2n (2m - n - 1) = 23 (23 − 1) Therefore, = 3 and m – n = 3 ∴ m = 6 |
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