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# Proper Subset Calculator

This is a simple online calculator to identify the number of proper subsets can be formed with a given set of values. It is defined as a subset which contains only the values which are contained in the main set, and atleast one value less than the main set. For example: Set B is a proper subset of A , where all elements of B are in A and A contains at least one element more than B and which is not in B.

## Number of Proper Subsets Calculator

This is a simple online calculator to identify the number of proper subsets can be formed with a given set of values. It is defined as a subset which contains only the values which are contained in the main set, and atleast one value less than the main set. For example: Set B is a proper subset of A , where all elements of B are in A and A contains at least one element more than B and which is not in B.

#### Formula:

p=P(2,n)-1 Where, p = Proper Subset n = Set

#### Example

Consider a set of data : {1, 9, 21, 6, 23}

Proper Subset {},{1},{9},{21},{6},{23},{1,9},{1,21},{1,6},{1,23},{9,21},{9,6},{9,23},{21,6},{21,23},{6,23},{1,9,21},{1,9,6},{1,9,23},{1,21,6},{1,21,23},{1,6,23},{9,21,6},{9,21,23},{9,6,23},{21,6,23},{1,9,21,6},{1,9,21,23},{1,9,6,23},{1,21,6,23},{9,21,6,23}
Number of Proper Subset = 31