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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 9

If A = {{1}, 2}, what is n(A)?

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Answer and explanation

Correct answer: 2

The set A has exactly two direct elements: the set {1} and the number 2. Although 1 appears inside the element {1}, it is not separately listed as an element of A. Therefore, the number of elements or cardinality of A is n(A) = 2. Nested elements must not be counted again.

Tags

setscardinalitynested_setselementsThe 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 set A has exactly two direct elements: the set {1} and the number 2. Although 1 appears inside the element {1}, it is not separately listed as an element of A. Therefore, the number of elements or cardinality of A is n(A) = 2. Nested elements must not be counted again.

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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