A class has 175 students. The following data shows the number of...

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 and Chemistry

18.

How many students have offered Mathematics alone?

Options

Correct answer

C. 60

Step-by-step solution

\begin{aligned} & n(\mathrm{M} \text{ alone }) \\ &=n(\mathrm{M})-n(\mathrm{M} \cap \mathrm{C})-n(\mathrm{M} \cap \mathrm{P})+n(\mathrm{M} \cap \mathrm{C} \cap \mathrm{P}) \\ &=100-28-30+18=60 \end{aligned}

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