Question

10. In a class of 50 students,of the total students

like cricket, of the total students like football

5

and the remaining like table-tennis.

(i) How many like to play cricket?

(ii) How many like to play table-tennis?

(ii) How many like to play both cricket and football?​

Answer 1

Answer:

Here, let A be the set of students who likes to play cricket and B be the set of students who likes to play football.

As per question: n(A∪B)=35

n(A)=24

n(A∩B)=5

We know, n(A∪B)=n(A)+n(B)−n(A∩B)

⇒n(B)=n(A∪B)−n(A)+n(A∩B)

=35−24+5

=16

Hence number of students who like to play football =16.