Mark the correct alternative in the following:
In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?
Let M,P and C denote the set of students who opting mathematics ,physics and chemistry respectively.
Number of students who opted.
mathematics only =n(M)-n(M⋂P)-n(M⋂C)+n(M⋂P⋂C)
=100-30-28+18
=60