Can you conclude that A = B if A, B, and C are sets such that

Can you conclude that A = B if A, B, and C are sets such that

a) A ∪ C = B ∪ C?
b) A ∩ C = B ∩ C?
c) A ∪ C = B ∪ C and A ∩ C = B ∩ C?