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

April 9, 2026Mathematics

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April 9, 2026

Answer

200$

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 $N(M \cup P \cup C)' = 20$

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SECTION B 1a. Let M be the set of students studying Mathematics, P for Physics, and C for Chemistry.

Asked on April 9, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 9, 2026

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 P) = 40 N(P C) = 30 N(C M) = 20 Students studying none of these subjects N(M P C)' = 20