Question

A and B are two subsets of a universal set U in which, n(U)= 70, n(A)=40, n(B)=20 and n(AUB)complement=15,then i) Show it in a Venn –diagram. ii) Find the value of n(AnB)complemenet

Answer 1

Answer:

This way you can get your answer

Answer 2

Given,

n(U) = 210

n(A) = 120

n(B) = 60

n(AUB)' = 45

we know that

n(AUB) = n(U) - n(AUB)'

= 210-45 = 165

and

n(AUB) = n(A) + n(B) - n(AnB)

15165 = 120+60-n(ANB)

n(AnB) = 15.