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Set A is the set of birth dates of students in a class. If the class has 40 students, what kind of set will A be?

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Answer and explanation

Correct answer: Finite set

There are only 40 students, so at most 40 birth-date entries can be collected. Some students may share the same birth date, which would reduce the number of distinct elements, but it can never make the set infinite. The set contains a limited number of dates and is therefore finite. Hence, option C, finite set, is correct.

Tags

setsfinite-setreal-life-applicationcardinalityThe 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?

Finite set

Why is this the correct answer?

There are only 40 students, so at most 40 birth-date entries can be collected. Some students may share the same birth date, which would reduce the number of distinct elements, but it can never make the set infinite. The set contains a limited number of dates and is therefore finite. Hence, option C, finite set, is correct.

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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