Which option correctly describes the difference between an empty set and a singleton set?
Answer and explanation
Correct answer: An empty set has no element; a singleton has exactly one element
An empty set, written as ∅, contains no elements, so its cardinality is 0. A singleton set contains exactly one element; for example, {0} is a singleton. The braces matter: ∅ is not the same set as {0}, because the latter contains 0. Therefore, option C states the correct distinction between these two types of sets.
Frequently asked questions
What is the correct answer to this question?
An empty set has no element; a singleton has exactly one element
Why is this the correct answer?
An empty set, written as ∅, contains no elements, so its cardinality is 0. A singleton set contains exactly one element; for example, {0} is a singleton. The braces matter: ∅ is not the same set as {0}, because the latter contains 0. Therefore, option C states the correct distinction between these two types of sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
