Which set is finite but has 0 elements?
Answer and explanation
Correct answer: ∅
The empty set, written as ∅, contains no elements, so its cardinality is 0. A set is finite when it has a fixed, countable number of elements, and zero is a finite number. Thus the empty set is both finite and empty. In contrast, {0} has one element, while the natural-number sequence and the integers are infinite. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The empty set, written as ∅, contains no elements, so its cardinality is 0. A set is finite when it has a fixed, countable number of elements, and zero is a finite number. Thus the empty set is both finite and empty. In contrast, {0} has one element, while the natural-number sequence and the integers are infinite. Therefore option B is correct.
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.
