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# Subset Calculator

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

Table of Contents:

## 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
`2`

^{n} - The formula used to find the possible number of proper subsets is
`2`

^{n}- 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 =** 2 ^{n}**

Possible number of subset = **2 ^{5} = 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 = 2 ^{n}**

Possible number of subset = 2^{7}

Possible number of subsets = 128

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

**Possible number of proper subset = ****2 ^{n} -1**

Possible number of proper subset = 2^{7} -1 = 128 - 1

Possible number of proper subsets = 127