Question

Explain th difference between a collection and a set in Easy words.

Answer 1

Hey!
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→ What's the difference between a collection and a set ?


=> The main difference is that by default , every set is a collection of some or the other objects . But every collection is not necessarily a set . Only a collection of well defined and different objects is called a Set. 


For Example , 


=> The collection of best players of cricket isn't a set ✖ 


=> The collection of months in a year is a set ✔ 


•°• Thus, this is the basis difference between the 2 terms!


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Answer 2

Hi


Here is the answer


There is no difference between the two.

But, "set" has been the word that mathematicians have elected among its synonyms to describe the mathematical entity of a set/collection, as formalised in Zermelo-Fraenkel set theory. This entity can be used (in theory) to give a formal description of all of mathematics in the "language of sets".

In this respect, using "set" instead of "collection" will leave a more "mathematical" taste in the mouth of many readers.

But if history would have a quirk and "collection" would be the "mathematical" word, I'd have interchanged the two in this answer. It's a matter of definitions, and to some extent arbitrary.

Hope it helps