Power Set Calculator

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.


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.

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