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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

If A = {∅, 0}, how many elements are there in A?

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Answer and explanation

Correct answer: 2

The empty set ∅ and the number 0 are different mathematical objects. The symbol ∅ denotes a set having no elements, whereas 0 is a number. In A = {∅, 0}, both objects are placed inside the outer braces as separate members. Thus A contains two distinct elements, so n(A) = 2. The correct answer is option C.

Tags

setsempty-setcardinalitysingleton-conceptsThe 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?

2

Why is this the correct answer?

The empty set ∅ and the number 0 are different mathematical objects. The symbol ∅ denotes a set having no elements, whereas 0 is a number. In A = {∅, 0}, both objects are placed inside the outer braces as separate members. Thus A contains two distinct elements, so n(A) = 2. The correct answer is option C.

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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