Given n(U)=150,n(A)=60,n(B)=50 and . Find the shaded portion.
20
40
60
80
As we learnt
Number of Element in Union A & B -
If (A ∩ B) = φ,then n (A ∪ B) = n (A) + n (B)
- wherein
Given A and B be any finite sets. then Number of Elements in intersection A & B is given by this formula.
n (A ∪ B) = n (A) + n (B)- n(A ∩ B)
n (A ∪ B) = 60+50-0=110
Thus Shaded region = n(U)-n (A ∪ B)=150-110=40