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In a survey of 60 persons, it is found t...

In a survey of 60 persons, it is found that 25 read newspaper H, 26 read T, 26 read I, 9 read H and I, 11 and H and T,8 read T and I and 3 read all three newspaper. Find :
(a) No. of persons who read atleast one newspaper.
(b) No. of persons who read exactly one newspaper.

Text Solution

Verified by Experts

Let A be the set of people who read newspaper H.
Let B be the set of people who read newspaper T.
Let C be the set of people who read newspaper I.
Given n(A)=25,n(B)=26, and n(C)=26
n(A∩C)=9,n(A∩B)=11, and (B∩C)=8
n(A∩B∩C)=3
Let U be the set of people who took part in the survey.
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