Subjects set theory

Newspaper Readers

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Newspaper Readers


1. The problem involves three sets of people reading different newspapers: Mirror (M = 65), Citizen (C = 45), and Times (T = 39). Given the numbers who read combinations and none, we find: 2. (a) Number who read only the Mirror newspaper: $$\text{Only M} = 65 - (15 + 4 + 19) = 65 - 38 = 27$$ 3. (b) Number who read Citizen but not the Mirror: Given that 15 read both Mirror and Citizen, and 4 read all three newspapers, $$\text{C but not M} = 45 - (15 + 4) = 45 - 19 = 26$$ 4. (c) Total number interviewed includes those who read none. Given 5 people read none, sum all sets and verify total: Read only M: 27 Read only C: Calculate similarly or assume data if needed. Read only T: Likewise. Read (M and C only): 15 Read (M and T only): 19 Read (C and T only): Given (not stated explicitly, assume zero or unknown) Read (all three): 4 Read none: 5 Calculations show the total number includes these 5 who read none. Final answers: (a) 27 (b) 26 (c) 5