Question

In a survey of 100 students of a school, it is

found that 50 study Mathematics, 50 study

Physics and 50 study chemistry, 30 study

mathematics and Physics, 31 study

Mathematics and Chemistry, 32 study

Physics and Chemistry and 23 none of these

subject. On the study of these give the

answer of following question.​

Answer 1

Step-by-step explanation:

R.E.F image

A− no of students studying Physics

B− no of students studying Chem

C− no of students studying Maths

A∩B− no of students studying  Phy of chem 

B∩C− no of students studying  Chem of math

C∩A− no of students studying  maths of Phy

A∩B∩C− no of students studying  all '3' subjectively 

(i) no of students in chem is ∩(B)−∩(A∩B)−∩(B∩C)+∩(A∩B∩C)

⇒50−22−20+10=18

(ii) no of students in Phy only ∩(A)−∩(A∩B)−∩(A∩C)+∩(A∩B∩C)

⇒50−22−17+10=21

(iii) no of students in maths only −∩(C)−∩(B∩C)=∩(A∩C)+∩(A∩B∩C)

⇒50−20−17+10=23