Answer
The number of elements belongs to region I = n(A)-n(A∩B) =14
The number of elements belongs to region III = n(B)-n(A∩B) =22
The number of elements belongs to region IV = n(U)-n(A)-n(B)+n(A∩B) =5
Work Step by Step
From the given Venn diagram,
the regions II represents the number of elements in set A and Set B. i.e n(A∩B) and it's given that n (A)= 21 , n(B) =29, n(U) =48
The number of elements belongs to region I = n(A)-n(A∩B) = 21-7 =14.
The number of elements belongs to region III = n(B)-n(A∩B) = 29-7 =22.
The number of elements belongs to region IV = n(U)-n(A)-n(B)+n(A∩B) = 48-21-29+7 =5.
