# Subset Calculator

Enter the comma-separated values of a set and hit calculate button to find the subsets using the subset calculator

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## Subset Calculator

Subset calculator is used to evaluate the possible subsets of the given set. This subsets calculator finds the subsets of sets up to 10 elements along with steps.

## What is a Subset?

A subset is defined as the elements of any set “A” are also elements of another set “B”.  In other words, one set (say A) is a subset of another set (say B) if all of its elements are contained within the other set

The mathematical symbol used to represent the subset is “”. Such as if a set A is a subset of another set B that can be represented as “A ⊆ B” which reads as “`A is the subset of B`”.

• The formula used to find the possible number of the subset is `2n `
• The formula used to find the possible number of proper subsets is `2n - 1`

Note:

The empty set is represented by the “{ } or

## Examples of Subsets

Example 1:

Evaluate all subsets of the given set.

If A = {2, 3, 4, 5, 23}.

Solution:

Step 1: Count the elements of the given set and find the number of possible subsets by applying the formula.

`n = 5`

Possible number of subset = 2n

Possible number of subset = 25 = 32

Step 2: Write all possible subsets.

{} , {2} , {3} , {4} , {5} , {23} , {2,3} , {2,4} , {3,4} , {2,5} , {3,5} , {4,5} , {2,23} , {3,23} , {4,23} , {5,23} , {2,3,4} , {2,3,5} , {2,4,5} , {3,4,5} , {2,3,23} , {2,4,23} , {3,4,23} , {2,5,23} , {3,5,23} , {4,5,23} , {2,3,4,5} , {2,3,4,23} , {2,3,5,23} , {2,4,5,23} , {3,4,5,23} , {2,3,4,5,23}.

Example 2:

Determine the possible number of subsets and proper subsets if a set has 7 elements.

Solution:

Step 1: Find the number of possible subsets by applying the formula.

Possible number of subset = 2n

Possible number of subset = 27

Possible number of subsets = 128

Step 2: Find the number of possible proper subsets by applying the formula.

Possible number of proper subset = 2n -1

Possible number of proper subset = 27 -1 = 128 - 1

Possible number of proper subsets = 127