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