Which of the following collections represent a set?
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.