Question

A team of eleven best-cricket batsmen of the world. Are the given is a set? Justify your answer.

Answer 1

set is a well defined collection of distinct objects. for example :- A is collection of natural number between 1 to 10. we can write it A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Here A is well defined Collection of distinct numbers hence, A is a set.

now, come to the question !
given statement is --> A team of eleven best cricket batsmen of the world.
This is not a well defined collection of distinct objects because we can't find best - cricket batsmen of the world. hence, given statement is not a set.