22 19. A school has 37 vacancies for teachers,
out of which 22 are for English
Language, 20 for History and 17 for
Fine Art. Of these vacancies 11 are for
both English Language and History, 8
for both History and Fine Art and 7 for
English Language and Fine Art. Using
a Venn diagram, find the number of
teachers who must be able to teach:
(a) all the three subjects;
(b) fine art only
(c) English language and history but not fine art