## Introduction to Power Set Calculator

Power set calculator is a digital tool that helps you to **find all the subsets of a set** in a couple of seconds. Our tool generates all the possible power sets of a given set which include the null set or a given set as a subset in solution.

If you find the subset of the set it takes time or effort to make all possible subsets manually. To avoid all the fuss you just add your set to the powerset calculator and it will automatically generate all possible subsets immediately.

## What is the Power Set?

A power set is defined as all the **possible subsets of a set** in which an empty set or original set is also present. It uses even term 2n to check how many combinations of subsets get from a set.

The set X Power set is represented as P(X) whereas the empty set is {} or ∅. All subsets are written inside the { } and separate with a comma as {1,2,3}.

## Formula of Power Set

Power set formula used by the Power set calculator is based on an even term where n is the number of terms that are present in P(x) in the power set. If n=2 then 2^{2} gives 4 subsets from a given set. All the **subsets are finite** and countable sets in the power set.

$$ |P(X)| \;=\; 2^n $$

## Working Process of Powerset Calculator

Power set generator generates all the possible sets from the given Set. A total number of power sets is obtained from the formula of 2^{n}n where n is the number of elements present in a given set.

Let's elevate the below example to understand the working principle of our power set calculator. As you can see set **A has {a,b}** two number of elements which means n=2 so 2^{2}=4. It shows that set A has 4 power sets.

Remember the power set is the only set where an empty set or original set itself is also a subset of the given set. As you can see Set A has 4 power sets.

Similar procedure is followed for Set B 3 Elements are present so 2^{3}= 8, and Set B has 8 power subsets. You can enter different numbers of set elements and our power set maker provides you with accurate results always without any errors.

## Solved Example of Power Set

Let's see an **example of a power set** with a solution to know how to solve the power set questions manually.

### Example :

If A = {a,b} and B = {a,b,c}, then find the subsets of A & B.

**Solution:**

Power set of the set A:

$$ P(A) \;=\; [\phi, (a), (b), (a,b)] $$

Power set of set B:

$$ P(B) \;=\; [\phi, (a), (b), (a,b), (c), (a,c), (b,c), (a,b,c)] $$

## How to Use the Power Set Calculator?

Power set generator has a feasible layout that enables you to calculate the subset in less than a minute easily. You should follow some of our guidelines before using a tool for the calculation of the set so that you get a comfortable experience. These guidelines are given as:

- Enter your particular set in the input box
- Click the “Calculate” button to get the desired result of your given power set
- If you want to try out our powerset calculator for the first time then you can use the load example to get to know about the working process for better clarity
- You can check out your input set again before clicking the calculate button to get an error in the calculation process.
- Click on the “Recalculate” button to get a new page for solving more power set problem

## Result from Power Set Generator

Power set Calculator provides you with the solution of a given set problem when you give the input to it. It provides you with solutions in the form of subsets in no time. It may contain as

- Result option gives you a solution for the power set question
- Possible step provides you with all the evaluation steps of the power set problem

## Benefits of Power Set Maker

Powerset calculator gives you tons of benefits whenever you use it to calculate all the subsets of the power set. These benefits are:

- Our power set generator saves your time from doing lengthy calculations of the Power Set problem
- It is a free-of-cost tool so you can use it to find some point values between algebraic expressions
- It is a versatile tool that allows you to solve various types of power sets in no time.
- You can use this calculator for practice so that you get intimate with the set questions
- It is a reliable tool that provides you with accurate solutions every time whenever you use it to calculate the given set.
- Power set Calculator provides a solution of power set with a complete process in a step-wise process with no or minimal error so that you get a better understanding.