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What is the total number of proper subsets of a set consisting of n elements? |
Answer» A total number of subsets for any given ser is 2n. In every set there is only one improper set i.e. the set itself. ∴ proper subsets would be 2n–1. Example : A = {1,2,3}There will be 23 - 1 = 8 - 1 = 7 proper subsets.These are [ { ∅},{1},{2},{3},{1,2}, {1,3},{2,3}]. |
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