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

Which statement is always true?

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Answer and explanation

Correct answer: An empty set has 0 elements

By definition, an empty set is a set containing no element. Therefore, its cardinality, or number of elements, is zero, written as n(∅) = 0. It is not infinite. Also, the order in which elements are written does not matter in a set, so equal sets need not have the same arrangement.

Tags

setsempty setcardinalityfinite setsThe 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?

An empty set has 0 elements

Why is this the correct answer?

By definition, an empty set is a set containing no element. Therefore, its cardinality, or number of elements, is zero, written as n(∅) = 0. It is not infinite. Also, the order in which elements are written does not matter in a set, so equal sets need not have the same arrangement.

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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