A group of 140 students is polled to see how many watched three TV shows, Awesome,
Bongo and Crikey. The res
ults showed that 66 watched Awesome, 63 watched Bongo, 63
watched Crikey, 34 watched Awesome and Bongo, 31 watched Awesome and Crikey, 26
watched Bongo and Crikey, and 27 did not watch any of the three. Let A denote the set of
students who watched Awesome
, and similarly define sets B and C.
(a)
Calculate the number of students in each of the eight subsets shown in the Venn
diagram. Copy the Venn diagram and enter the number of students in each subset.
(b)
Hence find how many students watched:
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