The power set of a set is the set of all subsets, including the empty set and the set itself. You can quickly compute power sets with The Mathematics Master Power Set Calculator.
What is a Power Set?
The power set is the set of all subsets, including the null and original sets. It is denoted by P(X). This set combines all subsets of a given set, including an empty set. The power set and the binomial theorem are closely related,
and the power set must be larger than the original set.
For example, X = {a,b,c} is a set,
All the subsets {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} are the element of powerset, such as:
Power set of X, P(X) = {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}.
Here P(X) is the powerset.
How to Find the Power Sets?
The power set of the set will have 2n elements if the set contains n elements. It also offers the power set’s cardinality.
Example of Power Set
Let’s say Set A = { a, b, c }
Number of elements = 3
The subsets of the set are:
{ } which is the null set
{ a }
{ b }
{ c }
{ a, b }
{ b, c }
{ c, a }
{ a, b, c }
The power set P(A) = { { } , { a }, { b }, { c }, { a, b }, { b, c }, { c, a }, { a, b, c } }
How does the Power Set Calculator work?
The power set calculator instantly generates all possible subsets of a given set.
Enter the set’s components first, separated with a comma
To calculate sets and subsets, click the calculate button.
The power set calculator displays the power sets of the entered numbers.
FAQs
What is a subset calculator?
The subset calculator can generate every subset of a given set and determine how many subsets there are overall. For example, let’s say A and B are two sets. If each element of A is also an element of B, then A is a subset of B. In other words, A contains some (perhaps all) of the components found in B, but it lacks none that B does.
How do you calculate sets?
A and B are two sets; then the set formula is given as n(A∪B) = n(A) + n(B) – n(A⋂B), where A and B are two sets and n(A⋂B) shows the number of elements present in both A and B while n(A∪B) indicates the number of elements present in either A or B. Alternatively, you can use an online set calculator.
Can't find your query?
Fill out the form below with your query and we will get back to you in 24 hours.
MOST POPULAR
Most commonly used free online Calculators
Learning Center
The most Popular Blogs among people
Cartesian Coordinates System – Dimensions, Formula...
Cartesian coordinates, sometimes called rectangular coordinates, are t...
Math Playground: A Hands-On Approach to Learning M...
Step into the math playground, where the wonders of numbers come to li...
How to Graph a Parabola – Formula, Properties, and...
When you discharge an arrow or throw a stone, it arcs into the air and...