In a survey of 200 students, the following information was gathered about their subject choices: 120 study Mathematics, 90 study Physics, 70 study Chemistry, 40 study Mathematics and Physics, 30 study

Here are the solutions to the problems:

SECTION B

1a.
Let $M$ be the set of students studying Mathematics, $P$ for Physics, and $C$ for Chemistry.
Given:
Total students $N(U) = 200$
$N(M) = 120$
$N(P) = 90$
$N(C) = 70$
$N(M \cap P) = 40$
$N(P \cap C) = 30$
$N(C \cap M) = 20$
Students studying none of these subjects $N(M \cup P \cup C)' = 20$