Table of Contents
What are Power Sets?
A power set is a set of all subsets of a given set. In other words, it is the set of all possible combinations of elements within a set. For example, the power set of the set {1, 2, 3} would be the set {1, 2, 3, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}.
Power Set Definition
The power set of a set A is the set of all subsets of A. That is, it is the set of all sets that can be created by taking some, but not all, of the elements of A.
For example, the power set of the set {1, 2, 3} is the set { {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3} }.
The cardinality of a Power Set
is 2^n.
A power set is a set of all subsets of a given set. The cardinality of a power set is 2^n, where n is the number of elements in the set. This means that there are 2^n possible subsets, or 2^n different combinations.
Power Set Properties
Property Name Property Type Description
length number The length of the set.
items array An array of items in the set.
Power Set Generator
This set generator will create a set of random items.
1. Choose the number of items in the set.
2. Choose the type of items in the set.
3. Choose the rarity of the items in the set.
4. Choose the properties of the items in the set.
Power Set of Null Set
The null set is a set with no elements.
Problems
1. A person has a mass of 50 kg. What is the person’s weight on Earth?
The person’s weight on Earth would be 500 N.
