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A class has 172 students. The following data shows the number of students opting one or more subjects: Mathematics 125, Physics 95, Chemistry 65 Mathematics and Physics 55 Mathematics and Chemistry 53 Physics and Chemistry 48 Mathematics, Physics and Chemistry 43 The number of students who opted only Physics is

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In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (i) The total number of students.

In a class of 175 students the following data shows the number of students opting one or more subjects Mathematics 100, physics 70, chemistry 28, physics and Chemistry 23, mathematics physics and chemistry 18. how many students have offered mathematics alone ?