Saved Bookmarks
| 1. |
What is the total number of proper subsets of a set consisting of n element |
| Answer» The number of sets of a set containing n-elements =2n .A proper subset of a set is the set whose elements are in the given set, but it is not equal to the set.Let S be a subset of A, S is called Proper subset if and only if it is a subset of A, and S ≠ A .So, The number of proper subsets of a set containing n-elements is 2^{ n }- 1As, The number of subsets contains a improper subset that is the set itself, so 1 is subtracted from number of total subsets to get number of proper subsets. | |