Difference Between a Collection and a Set

Difference Between a Collection and a Set

What is the difference between a collection and a set? Give reasons to support your answer.

Solution

Collection Set
A collection is simply a group of objects. A set is a well-defined collection of distinct objects.
A collection may or may not be well-defined. Every set must be well-defined.
Example: “Collection of good teachers” is not clearly defined. Example: \[ \{a,e,i,o,u\} \] is a set of vowels in English alphabet.

Hence, every set is a collection, but every collection is not necessarily a set.

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