What is the number of elements in the empty set ∅?
Answer and explanation
Correct answer: 0
The empty set is defined as the set that contains no elements. The number of elements of a set is called its cardinality, so the cardinality of the empty set is n(∅) = 0. It is important not to confuse ∅ with {0}: the former has no elements, while the latter contains the element 0 and therefore has one element.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The empty set is defined as the set that contains no elements. The number of elements of a set is called its cardinality, so the cardinality of the empty set is n(∅) = 0. It is important not to confuse ∅ with {0}: the former has no elements, while the latter contains the element 0 and therefore has one element.
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.
