The number of persons reading newspaper is shown in the following Venn Diagram (Survey of 50 persons): three overlapping circles Paper I, Paper II, Paper III with region counts — Paper I only: 13, Paper II only: 4, Paper III only: 6, Paper I & II only: 12, Paper II & III only: 5, Paper I & III only: 8, all three: 2. In a population of 10000, what is the number of persons expected to read at least two newspapers?
- A5000
- B6000
- C6250
- D5400
Explanation
Readers of at least two newspapers are those in the pairwise-only regions plus the all-three region: 12 (I and II only) + 5 (II and III only) + 8 (I and III only) + 2 (all three) = 27 out of the 50 surveyed. Scaling to a population of 10000 gives (27/50) x 10000 = 5400. The single-paper readers (13 + 4 + 6 = 23) are excluded from 'at least two'. Hence 5400 is correct.