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Q. What is the difference between a collection and a set? Give reasons to support your answer.
Q. Which of the following collections are sets? Justify your answer.
  1. A collection of all natural numbers less than 50.
  2. The collection of good hockey players in India.
  3. The collection of all girls in your class.
  4. The collection of most talented writers of India.
  5. The collection of difficult topics in Mathematics.
  6. The collection of all months of a year beginning with the letter J.
  7. A collection of novels written by Munshi Prem Chand.
  8. The collection of all questions in this chapter.
  9. A collection of most dangerous animals of the world.
  10. The collection of prime integers.

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Solution

Dear student
A set is a well defined collection of objects. The objects can not be repeated in a set.

Collection represents a group of objects. The objects can be repeated in a collection of objects. The collection of objects may or may not be well defined.
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