Answer :

Let A denote the set of people who read newspaper A and B denote the set of people who read newspaper B.

Then, n(A) = 5400, n(B) = 4700, n(A ∩ B) = 1500, n(U) = 10000.

People who do not read either of the two papers are represented by (A ∪ B)’.

We have, n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

n(A ∪ B) = 5400 + 4700 – 1500

n(A ∪ B) = 10100 – 1500 = 8600

n(A ∪ B)’ = n(U) – n(A ∪ B) = 10000 – 8600 = 1400

∴ Number of persons who do not read either of the two papers are 1400.

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