Answer
The number of elements belongs to region I =16.
The number of elements belongs to region III = 20.
The number of elements belongs to region IV = 10.
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)= 23 , n(B) =27, n(U) =53.
The number of elements belongs to region I = n(A)-n(A∩B) = 23-7 =16.
The number of elements belongs to region III = n(B)-n(A∩B) = 27-7 =20.
The number of elements belongs to region IV = n(U)-n(A)-n(B)+n(A∩B) = 53-23-27+7 = 10.
