How many proper subsets in a set with 6 elements

Asked by admin @ 04/08/2021 in Math viewed by 322 People

A set containing 6 element total number of proper subset is

Answered by admin @ 04/08/2021

The number of sets of a set containing n-elements =2^n .

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

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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