Properties of the Singleton Set
Some properties of singleton set are:
- Singleton set has only 1 element.
- Singleton set has the cardinality one.
- The singleton sets are always finite sets as the number of elements in the singleton set is 1.
- The number of subsets of singleton set is 2 i.e., empty set and the singleton set itself.
- The cardinality of power set of singleton set is 2.
- Empty set is subset of every singleton set.
- The union of two singleton set is singleton when the two sets are same.
Singleton Set
Singleton set is a set with only one element. An example of a singleton set is an even prime number since there is only one prime number and all other primes are odd. Thus, the set of even prime numbers is a singleton set.
In this article, we will explore the singleton set, singleton set definition, singleton set symbol, singleton set examples, the cardinality of the singleton set, the power set of the singletons set, and others in detail.
Table of Content
- What is Singleton Set?
- Singleton Set Examples
- Cardinality of Singleton Set
- Power Set of a Singleton Set
- Properties of the Singleton Set
- Venn Diagram of a Singleton Set
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