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)