Which of the following collections is a set?

The collection of states in the Indian Union.

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The collection of all great prime ministers in India.

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The collection of all good dishes in India.

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The collection of all the factors of number 56.

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Solution

The correct options are
A The collection of states in the Indian Union.
D The collection of all the factors of number 56.
A set is a well-defined collection of distinct objects/elements.
The collection of states in the Indian Union and the collection of all the factors of number 56 are well-defined collections of distinct elements, whereas the other collections are not well-defined as they are based on individual's choices and may vary from person to person. Therefore, they aren't sets.

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100.

Which of the following collections are sets ? Justify your answer :

(i) A collection of all natural numbers less than 50.

(ii) The collection of good hockey players in India.

(iii) The collection of all girls in your class.

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