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Question

Which of the following collections represent a set?


A

a collection of good books.

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B

a collection of good movies.

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C

a collection of vowels in the English alphabet.

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D

a collection of beautiful necklaces.

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Solution

The correct option is C

a collection of vowels in the English alphabet.


Explanation for the correct option:

Option c: a collection of vowels in the English alphabet.

It will have well-defined elements as we know that there are five vowels in the English alphabet: a, e, i, o, u.

Hence it will be a set.

Explanation for the incorrect options:

Option a: a collection of good books.

It will not have well-defined objects as it is not easy to decide whether a book is good or not. The quality of book depends upon the reader. Hence it will not be a set.

Option b: a collection of good movies.

It will not have well-defined objects as there are not defined standards to for a movie to be called as a good movie. Hence it will not be a set.

Option d: a collection of beautiful necklaces.

It will not have well-defined objects as there are no set standards to decide whether a necklace is beautiful or not. Hence it will not be a set.


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