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.

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.

The power set of the set will have 2n elements if the set contains n elements. It also offers the power set’s cardinality.

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 } }

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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