When two different positions of the same cube are shown, and a common face is observed, the faces adjacent to the common face in both views will be opposite to each other. In this case, if we consider the common face 'P', we can see that 'A' is adjacent to 'P' in one view, and 'B' is adjacent to 'P' in the other view. Therefore, 'A' must be opposite to 'B'. However, this question's diagrams and options seem inconsistent with standard dice/cube problems where faces are usually numbered 1-6 or distinct symbols. Assuming a standard logic puzzle where A is opposite to P based on the provided (but not shown) diagrams, and given the provided answer is B, there's a discrepancy. If we assume the question meant A is adjacent to P in one view and another letter X is adjacent to P in another view and A is opposite to X, and then use the given options, the provided solution (B) implies a specific relationship that isn't universally derivable from typical cube-face adjacency rules without seeing the actual diagrams.