Which of the following are sets ? Justify your answer.

The collection of ten most talented writers of India.

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The collection of ten most talented writer of India is not a well-defined collection because the criteria for determining a writer's talent vary from person to person.

Hence, this collection is not a set.

Similar Questions

Decide, among the following sets, which sets are subsets of one and another:

$A = \{ x:x \in R$ and $x$ satisfy ${x^2} - 8x + 12 = 0 \} ,$

$B=\{2,4,6\}, C=\{2,4,6,8 \ldots\}, D=\{6\}$

State which of the following sets are finite or infinite :

$\{ x:x \in N$ and $x$ is odd $\} $

Write the following as intervals :

 $\{ x:x \in R, - 4\, < \,x\, \le \,6\} $

Write the following intervals in set-builder form :

$\left[ { - 23,5} \right)$

Examine whether the following statements are true or false :

$\{ a,b\}  \not\subset \{ b,c,a\} $