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61. In a class, 18 students took Physics, 23 students took Chemistry and 24 tookmathematics. OF these 13 took both Chemistry and Mathematics, 12 took bothChemistry and Mathematics and 11 took both Physics and Mathematics. If 6 studentsoffered all the three subjects find the total number of students in the class, how manytook Mathematics but not Chemistry and how many took exactly one of the 3 subjects?

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