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

If A = {x ∈ ℕ : x is a three-digit number}, how many elements does A have?

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Answer and explanation

Correct answer: 900

The three-digit natural numbers begin at 100 and end at 999, with both endpoints included. The number of integers in this inclusive interval is 999 − 100 + 1 = 900. Therefore, A is a finite set with 900 elements. The plus-one is necessary because both 100 and 999 are counted.

Tags

setsfinite-setcardinalitycountingThe 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?

900

Why is this the correct answer?

The three-digit natural numbers begin at 100 and end at 999, with both endpoints included. The number of integers in this inclusive interval is 999 − 100 + 1 = 900. Therefore, A is a finite set with 900 elements. The plus-one is necessary because both 100 and 999 are counted.

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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