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In a survey of 136 students it was found that 50 did Maths (M), 52 did Biology (B) and 52 did Physics (P). Additionally 18 did both M and P, 16 did both B and P, 22 did both M and B, and 16 did none of the three subjects.
(i) Calculate the number of students who did all the three units
(ii) The number of students who did precisely one unit
(iii) Draw a suitable Venn diagram to show the correct number of students in each of the regions