The population of town is 10000. Out of these 5400 persons read newspaper A and 4700 read newspaper B. 1500 persons read both the newspapers. Find the number of persons who do not read either of the two papers.
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Solution
Given: The population of town (ξ)=10000
No of people who reads newspaper A =n(A)=5400
No of persons who reads newspaper B =n(B)=4700
No of people who reads both newpapers =n(A∩B)=1500
n(A∪B)=n(A)+n(B)−n(A∩B)
=5400+4700−1500=8600
and
n(A∪B)′=n(ξ)−n(A∪B)
=10000−8600=1400
∴ No of persons who do read either of the papers are 1400.