In a classroom of 120 students, 80 read Assam Tribune, 55 read the Hindu, 25 read the both. How many students read neither Assam Tribune nor the Hindu?

Q. In a classroom of 120 students, 80 read Assam Tribune, 55 read the Hindu, 25 read the both. How many students read neither Assam Tribune nor the Hindu?

Solution:

Let us assume,

n(A)= The set of students who read Assam Tribune.

n(H)= The set of students who read the Hindu.

Given,

n(A)=80, n(H)=55, n(A∩H)=25, to find: n(A∪H)=?

we know that,

n(A∪H)=n(A)+n(H)-n(A∩H)

             =80+55-25

             =135-25

             =110

so, the no. of students who read neither Assam Tribune nor the Hindu=120-110=10.