Gce Model Questions Vol1 2024 Civic Education Question 13

A survey of 1,500 citizens asked whether they regularly perform each of four civic responsibilities: voting (V), paying taxes (T), community service (C), and environmental stewardship (E). The numbers of respondents who said "yes" to each activity are: \( |V| = 560,\; |T| = 480,\; |C| = 320,\; |E| = 240.\) The numbers who said "yes" to each pair of activities are: \( |V\cap T| = 200,\; |V\cap C| = 120,\; |V\cap E| = 80,\; |T\cap C| = 100,\; |T\cap E| = 60,\; |C\cap E| = 40.\) The numbers who said "yes" to each triple are: \( |V\cap T\cap C| = 50,\; |V\cap T\cap E| = 30,\; |V\cap C\cap E| = 25,\; |T\cap C\cap E| = 15.\) Finally, 10 respondents said "yes" to all four responsibilities. Using the principle of inclusion-exclusion, how many citizens reported that they do none of the four responsibilities?