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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

If A = {∅}, what is the number of elements in A?

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Answer and explanation

Correct answer: 1

The symbol ∅ denotes the empty set, which contains no elements. However, A = {∅} is not the empty set itself; its outer braces show that the empty set is included as one element of A. Therefore, A is a singleton set and its cardinality is 1. Always distinguish between ∅ and {∅}.

Tags

setsempty-setsingleton-setThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

The symbol ∅ denotes the empty set, which contains no elements. However, A = {∅} is not the empty set itself; its outer braces show that the empty set is included as one element of A. Therefore, A is a singleton set and its cardinality is 1. Always distinguish between ∅ and {∅}.

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.

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