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What is the total number of …

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What is the total number of proper subsets of a set consisting of n element
  • 1 answers

Yogita Ingle 5 years, 1 month ago

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 }- 1

As, 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.

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