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In a class of 175 students the following data shows the number of students opting one or moresubjects. Mathematics 100, Physics 70, Chemistry 40, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18. (i) How many students have taken at least one of the three subjects? (ii) How many students have taken exactly one subject? (iii) How many students have taken none of these subjects?​

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