Please answer the question based on the following passage. You need to choose one letter from the given options, A, B, C, or D, as the final answer, and provide an explanation for your choice. Your output format should be ###Answer: [your answer] ###Explanation: [your explanation]. ###Passage:There are 7 candidates hired by Haier? F, G, H, I, W, X and Y.One of them needs to be assigned to the public relations department, three to the production department, and three to the sales department.The personnel allocation of these 7 employees must meet the following conditions? (1) H and Y must be allocated in the same department.(2) F and G cannot be allocated in the same department (3) If X is allocated in the sales department, W is allocated in the production department.(4) F must be allocated in the production department. ###Question:If X and F are assigned to the same department, which of the following statements cannot be true? ###Options: (A)G is assigned to the sales department (B)H is assigned to the production department. (C)I was assigned to the sales department. (D)W is assigned to the public relations department.