Question

A group of beautiful girls is
A. a null set
B. a finite set
C. a singleton set
D. not a set

Answer 1

Hint: In this question it is given that a group of beautiful girls is a set or not. So for this we need to know about the basic idea of set, i.e, a set is a well-defined collection of distinct objects, considered as an object in its own right. The arrangement of the objects in the set does not matter. A set may be denoted by placing its objects between a pair of curly braces. For example, the numbers 2, 4, and 6 are distinct objects when considered separately.

Complete step-by-step answer:
So here it is given that “a group of beautiful girls”
Since here objects are not well defined because the term beautiful varies from person to person, i.e, the definition of beautiful depends on person to person, so for another one, the collection might differ with your collection. So it is not defining a proper and fixed collection of girls. Therefore, we can say that “A group of beautiful girls” is not a set.
Hence the correct option is option D.


Note: You can identify that any statement is a set or not by the concept that a set does not vary from person to person, i.e, if a statement is defining a set then this set is identical for every individual.
Now you might be thinking that how can we say the collection of all integers is a set, since we cannot able to write all the integers in a curly bracket, so here is the concept of a set says that if you can able to predict the elements then the statement called as a set but in our given statement we cannot able to predict the element, i.e, girls, so that is why the above statement does not implies set.