The number of people that studied only one subject is 108.
A set is a collection of well-defined objects.
Objects in a set are called elements or members of a set.
Set notation or the use of Venn diagrams are the methods used to solve set problems.
Analysis:
let P = physics
C = chemistry
M = mathematics
n(P) = 70
n(C) = 46
n(M) = 100
n(M n P n C) = 18
n(M n P) = 30
n(M n P n C') = 30 - 18 = 12
n(M n C) = 28
n(M n C n P') = 28 - 18 = 10
n(P n C ) = 23
n(P n C n M') = 23 - 18 = 5
n(P n C' n M') = 70-(12+18+5) = 70 - 35 = 35
n(P' n C n M') = 46-(18+5+10) = 46-23 = 13
n(P' n C' n M) = 100 - (10+18+12) = 100 - 40 = 60
people that studied only one subject are = 35 + 13 + 60 = 108
In conclusion 108 students studied only one type of subject.
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