Which of the following collections are sets? Justify your answer: (i) The collection of difficult topics in Mathematics. (ii) The collection of novels written by Munshi Prem Chand.
Which of the following collections are sets? Justify your answer: (i) The collection of difficult topics in Mathematics. (ii) The collection of novels written by Munshi Prem Chand.

Answers:

(i) This collection is not a set. The word ‘difficult’ is not well defined in this collection. As a topic might be hard for one person but not for another person.

(ii) This collection is a set. The collection of novels written by Munshi Prem Chand is a well-defined collection so it is a set.