First slide

Operations on Sets

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

Easy

A

35
B

48
C

60
D

22

Solution

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

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