Power set ↩

Metadata 
aliases: [Powerset, power set, powerset]

The power set of a set it the set of all subsets of , including the null set and itself.

Notations

There are a lot of possible notations, a couple of examples:

Example

For a set , the following subsets exist:

The set of these is the power set of .

Number of elements

Let the number of elements of be .

Then, the number of elements in the power set is .