Question

the collection of ten most talented writers of India is a sets or not ? if not why?

Answer 1

this is because the likings of the people may vary from  person to person.So it is difficult to consider the 10 most talented writers of india.

Answer 2

It is not a well defined set.

It may vary with person to person but a set contains definite elements.

More:-

A set can be expressed in two ways:-

• Roster form: where the elements are enclosed with braces { }. (Numerical/Alphabetical value only.)
• Set builder form: where we use either x, y, or z to represent the elements of a set. For instánce, if A is a set such that it is = {x : all irrational numbers} which is an indefinite set.

We can also change the format of sets from roster form to set builder form and vice versa. That is, we can also write A = {√2, √3, √5, π, e, ϕ, √7, ...}.