Which of the following are sets ? Justify your answer.

A team of eleven best-cricket batsmen of the world.

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A team of eleven best cricket batsmen of the world is not a well-defined collection because the criteria for determining a batsman's talent may vary from person to person.

Hence, this collection is not a set.

Similar Questions

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is an even natural mumber $\}  \ldots \{ x:x$ is an integer $\} $

Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

$(i)$ $\{1,2,3,6\}$ $(a)$ $\{ x:x$ is a prime number and a divisor $6\} $ 
$(ii)$ $\{2,3\}$ $(b)$ $\{ x:x$ is an odd natural number less than $10\} $
$(iii)$ $\{ M , A , T , H , E , I , C , S \}$ $(c)$ $\{ x:x$ is natural number and divisor of $6\} $
$(iv)$ $\{1,3,5,7,9\}$ $(d)$ $\{ x:x$ a letter of the work $\mathrm{MATHEMATICS}\} $

Which of the following are examples of the null set

$\{ y:y$ is a point common to any two parallellines $\} $

State which of the following sets are finite or infinite :

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

Write the set $\{ x:x$ is a positive integer and ${x^2} < 40\} $ in the roster form.