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There are 175 students in a class, out of which 100 students opt Maths, 70 opt Physics and, 23 opt Physics and Chemisty, 28 opt Chemistry and Maths and 18 opt of all three subjects. Now find each of the following : No. of students who opt why only Maths (ii) No. of students who opt only Physics (iii) No. of students who opt only Chemistry (iv) No. of students who opt Physics and Chemisty but not Maths (v) No. of students who opt Maths and Physics but not Chemistry (vi) No. of students who opt only one subject (viii) No. of students who opt atleast one subject (viii) No. of student who do not opt any subject.

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In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.