Three Sets, Two Empty Overlaps

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Venn Diagrams

A, B and C are sets with

n(Acup Bcup C)=24

n(Bcup C)=n(B)+n(C)

n(Asetminus B)=n(A)

n(A'cap C)=n(Acap C)

n(C)=2 n(A)=3 n(B)

What is nbig(B'cap(Csetminus A)big)?