Question

In a survey conducted among 120 houses, it was found that 50 read Times of India, 60 read Indian Express

and 48 read Hindustan Times; 20 read Times of India and Indian Express, 18 read Times of India and Hindustan

Times and 24 read Indian Express and Hindustan Times. If 10 read all three, how many read only one

newspaper?​

Answer 1

Answer:

I am not sure but still 105

Answer 2

Number of houses read only one news paper=64

Step-by-step explanation:

Total number of houses surveyed=120

Let A=Times of India

B=Indian express

C=Hindustan times

n(A)=50

n(B)=60

n(C)=48

$n(A\cap B)=20$

$n(B\cap )=18$

$n(A\cap C)=24$

$n(A\cap B\cap C)=10$

$n(A\cap B)$only=$n(A\cap B)-n(A\cap B\cap C)=20-10=10$

$n(B\cap C)$only=18-10=8

$n(A\cap C)$only=24-10=14

n(A) only=50-10-10-8=22

n(B) only=60-10-10-14=26

n(C) only=48-10-14-8=16

Number of houses read only one news paper=22+26+16=64

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