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If D = {x : x is the first letter of the names of months}, what type of set is D?

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Answer and explanation

Correct answer: Finite set

There are only twelve months, so only finitely many first letters can be collected. Because a set does not repeat identical elements, repeated initials are counted once, but this does not change the fact that the collection is finite. It is not empty and it is not a singleton because several different letters occur.

Tags

setsfinite-setset-cardinalityreal-life-exampleSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Finite set

Why is this the correct answer?

There are only twelve months, so only finitely many first letters can be collected. Because a set does not repeat identical elements, repeated initials are counted once, but this does not change the fact that the collection is finite. It is not empty and it is not a singleton because several different letters occur.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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