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A class has 175 students. The following data shows the number of students obtaining one or more subjects : Mathematics 100 , Physics 70 , Chemistry 40 , Mathematics and Physics 30 , Mathematics and Chemistry 28 , Physics and Chemistry 23 , Mathematics & Physics & Chemistry 18 . How many students have offered Mathematics alone ?

A class has 175 students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics 100 , physics 70 , chemistry 46 , Mathematics and physics 30 , mathematics and chemistry 28 , physics and chemistry 23 , mathematics, physics and chemistry alone 18 , (i) how many students are enrolled in mathematics alone, physics alone and children alone, (ii) the number of students who have not offered any of these subjects.

If in a class there are 200 students in which 120 take Mathematics, 90 take Physics, 60 take Chemistry, 50 take Mathematics & Physics, 50 take Mathematics & Chemistry, 43 take Physics & Chemistry and 38 take Mathematics Physics & Chemistry, then the number of students who hace taken exactly one subject is

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In a class of 75 students, the number of students studying different Subjects are 43 in Mathematics 44 in Physics, 39 in Chemistry, 32 in Mathematics and Physics, 29 in Mathematics and Chemistry 27 in Physics and Chemistry and 24 in all three subjects. The number of students who have taken exactly one subject is