1.Set Theory
medium

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

A

$35$

B

$48$

C

$60$

D

$22$

Solution

(c) $n(M\ alone)$$ = n(M) – n(M \cap C) – n(M \cap P) + n(M \cap P \cap C)$

$ = 100 – 28 – 30 + 18 = 60$.

Standard 11
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.