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 Chem

Question

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:

Answer:

C

Solution:

$n (M alone) = n (M) - n (M \cap C) - n (M \cap P) + n (M \cap C \cap P) = 100 - 28 - 30 + 18 = 60$

TestHub · Accepted Answer

​ n ( M alone ) = n ( M ) − n ( M ∩ C ) − n ( M ∩ P ) + n ( M ∩ C ∩ P ) = 100 − 28 − 30 + 18 = 60 ​

Mathematics - Sets and Relations Question with Solution | TestHub

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