Check sibling questions

Set is a well defined collection of objects.

 

Set is well defined -

i.e. it doesn’t change from person to person

 

Example

Collection of natural numbers less than 6

-a-

Natural numbers = 1, 2, 3, 4, 5, 6, 7,…

Natural numbers less than 6 = 1, 2, 3, 4, 5

Since Collection of natural numbers until 5 is known and can be counted (well –defined)

It is a set

-ea-

 

Collection of 5 best cricketers of the world

-a-

Some people will say Sachin Tendulkar is the best, some say Virat Kohli.

Some say MS Dhoni.

Since you can have different players, I can have different players. So, the collection varies from person to person.

So, the collection is not well-defined.

Hence it is not a set.

-ea-

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.