Which of the following sets is both finite and empty?
Answer and explanation
Correct answer: ∅
The empty set, denoted by ∅, contains no elements, so its cardinality is 0. A set with a definite, limited number of elements is finite; therefore a set with zero elements is also finite. The sets in options C and D continue without end and are infinite, while {0} is finite but not empty. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The empty set, denoted by ∅, contains no elements, so its cardinality is 0. A set with a definite, limited number of elements is finite; therefore a set with zero elements is also finite. The sets in options C and D continue without end and are infinite, while {0} is finite but not empty. Hence option A 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.
