Question

In a survey conducted on campus, it was found that students like watching the
Barclays Premier League teams: Man U, Chelsea and Arsenal. It was also found that
every student who is a fan of Arsenal is also a fan of Man U or Chelsea (or both), and
42 students were fans of Man U, 45 were fans of Chelsea, 7 where fans of both Man U and Chelsea, 11 were fans of both Man U and Arsenal, 28 were fans of both Chelsea and Arsenal, and twice as many students were fans only of Man U as those who were fans only of Chelsea.
Find the number of students in the survey who were fans of:
i) All three football clubs (3 marks)
ii) Arsenal (2 marks)
iii) Only Man U. (2 marks)

Answer 1

Answer:

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