Question

In a survey of 25 students it was found that 15 study

mathematics, 12 study physics,and 11 study chemistry.5

study mathematics and chemistry,9studymathematics

andphysics,4studyphysicsandchemistryand3studyall

thesubject.find the number of student who study

(i)atleast one of the three subjects.

(ii)only one of the subjects.​

Answer 1

Step-by-step explanation:

n(m) = 15

n(p) = 12

n(c) = 11

n(m n c) =5

n(m n p) = 9

n(p n c) =4

n(mnpnc) =3

n(mupuc) = n(p)+n(m)+n(c)-n(pnc)-n(mnc)-n(cnp)+n(mnpnc)

= 23

no. of students who doesn't study any = 25-23=2

i)at least one = all - none = 25 -2 =23

ii) only one subject = 4+2+5 =11