If C = ∅, what is the value of n(C)?
Answer and explanation
Correct answer: 0
The governing concept is cardinality, written n(C), which means the number of distinct elements in set C. The empty set C = ∅ has no elements at all, so counting its elements gives n(C) = 0. The symbol ∅ in option C denotes the set itself, not the numerical size of that set. Option B would describe a singleton, and option D is incorrect because the cardinality of an empty set is well-defined.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The governing concept is cardinality, written n(C), which means the number of distinct elements in set C. The empty set C = ∅ has no elements at all, so counting its elements gives n(C) = 0. The symbol ∅ in option C denotes the set itself, not the numerical size of that set. Option B would describe a singleton, and option D is incorrect because the cardinality of an empty set is well-defined.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
