- P. Aseptic packaging involves sterilizing food and packaging material independently and packaging it under sterile conditions, matching with 3.
- Q. Active packaging involves controlling the concentration of O$_2$ and CO$_2$ inside the package, which matches with 1.
- R. Modified atmosphere packaging involves creating a skin-tight package wall to maintain a controlled atmosphere, which matches with 2.
Thus, the correct matching is:
\[
\boxed{\text{(A) P-3, Q-1, R-2}}.
\]