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In the class of 100 students, the number of students passed in English is 46, in Maths is 46 and in Commerce is 58. The number who passed in English and Maths is 16, Maths and commerce is 24 and English and commerce is 26, and the number who passed in all subjects is 7. Find the number of the students who failed in all subjects.

In a school, students must take at least one of these subjects: Maths, Physics or Chemistry. In a group of 50 students, 7 take all three subjects. 9 take Physics and Chemistry only, 8 take Maths and Physics only and 5 take Maths and Chemistry only. Of these 50 students, x take Maths only, x take Physics only and x + 3 take Chemistry only. Draw Venn diagram, find x, and hence find the number taking Maths.

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