Question

In a survey of 150 readers, it has been found that 75 read newspaper a, 90 read newspaper b and 70 read newspaper
c. 40 read a & b, 35 read b & c, 30 read a & c and 10 read all the three. How many respondents read none of the newspapers?

Answer 1

10 readers does nit read any news paper

Step-by-step explanation:

In a survey there are 150 readers

So total number of readers = 150

It is given that 75 reads news paper a , so $n(a)=75$

90 reads newspaper b , so $n(b)=75$

70 reads newspaper c , so $(c)=70$

40 reads a and b so $n(a\cap b)=40$

35 reads b and c $n(b\cap c)=35$

30 reads a and c so $n(a\cap c)=30$

And 10 reads all three newspaper , so $n(a\cap b\cap c)=10$

So number of reader who read at least one news paper

$n(a\cup b\cup c)=n(a)+n(b)+n(c)-n(a\cap b)-n(b\cap c)-n(a\cap c)+n(a\cap b\cap c)=75+90+70-40-35-30+10=140$

So number of readers who does not read any news paper = 150-140 = 10

Learn more

n a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper 1, 9 read both H and 1, 11 read both H and T, 8 read both T and 1, 3 read all three newspapers. Find: the number of people who read exactly one newspaper.

https://brainly.in/question/6627180