For any three sets AAA, BBB, and CCC, simplify the set expression (A∖B)∖(B∖C)(A \setminus B) \setminus (B \setminus C)(A∖B)∖(B∖C).
A∖(B∪C)A \setminus (B \cup C)A∖(B∪C)
A∖BA \setminus BA∖B
(A∖B)∖C(A \setminus B) \setminus C(A∖B)∖C
A∩CcA \cap C^cA∩Cc