Consider the following statements in respect of the events A, B, C: I. (A ∪ B ∪ C) ∩ (Ā ∩ B̄ ∩ C̄) is an impossible event. II. (A ∩ B ∩ C) ∩ (Ā ∪ B̄ ∪ C̄) is a possible event. Which of the statements given above is/are correct?

Statement I: (A ∪ B ∪ C) ∩ (Ā ∩ B̄ ∩ C̄) = (A ∪ B ∪ C) ∩ (A ∪ B ∪ C)' by De Morgan's law, which equals the empty set (impossible event). So I is correct. Statement II: (A ∩ B ∩ C) ∩ (Ā ∪ B̄ ∪ C̄) = (A ∩ B ∩ C) ∩ (A ∩ B ∩ C)' by De Morgan's law, which is also the empty set (impossible, not possible). So II is incorrect. Only statement I is correct.