i) The collection of all the months of a year beginning with die letter “J”.

Question

Which of the following are sets? Justify your answer. 

i) The collection of all the months of a year beginning with die letter “J”. 

ii) The collection of ten most talented writers of India. 

iii) A team of eleven best cricket batsmen of the world. 

iv) The collection of all boys in your class. 

v) The collection of all even integers.

Answer 1

i) There are 3 months as January, June and July beginning with letter ‘J’. Therefore, it is a well defined collection of months and hence it is a set. 

ii) The concept of talented writers of India is vague, since there is no rule given for deciding whether a particular writer is talented or not. Hence, the given collection is not a set. 

iii) A team of eleven best cricket batsmen of the world is vague, since there is no rule given for deciding whether a particular batsman is the best. Hence, the given collection is not a set. 

iv) The collection of all boys in my class is well defined. Hence, the given collection is a set. 

v) The collection of all even integers i.e., (2, 4, 6, 8, ……) is well defined. Hence, the given collection is a set.