Given the following cardinalities: n(U) = 169, n(A) = 81, and n(B) = 66, find the following: if n(A∩B)=47, find n(A∪B). if n(A∪B)=147, find n(A∩B).

Question

Given the following cardinalities: n(U) = 169, n(A) = 81, and n(B) = 66, find the following:

1. if n(A∩B)=47, find n(A∪B).
2. if n(A∪B)=147, find n(A∩B).

Answer 1

if n(A^B) = 47, then n(AUB) = 106

if n(AUB) = 147 then n(A^B)= 0