To answer this question, let's go through each statement and determine if the third statement is correct or not.
Statement 1: All the offices on the 9th floor have wall-to-wall carpeting.
This statement tells us that every office on the 9th floor has wall-to-wall carpeting.
Statement 2: No wall-to-wall carpeting is pink.
This statement states that there is no wall-to-wall carpeting that is pink. In other words, none of the carpeting on the 9th floor is pink.
Now, let's analyze the third statement:
Statement 3: None of the offices on the 9th floor has pink wall-to-wall carpeting.
Based on the information provided in the first two statements, we can conclude that this statement is correct. If all the offices on the 9th floor have wall-to-wall carpeting (as stated in Statement 1) and none of the carpeting is pink (as stated in Statement 2), then it follows that none of the offices on the 9th floor can have pink wall-to-wall carpeting.
Therefore, the correct answer is A) CORRECT.