Step 1: Understanding the Question:
Put the four years in order and then place the states in that order.
Step 2: Arrange the years.
The years are 1963, 1966, 1972 and 1987. In order, the first is Nagaland, then Punjab, then Meghalaya and last Goa.
Step 3: Anchor with the oldest and newest.
Nagaland (1963) is the earliest state here, so D goes with (I). Goa (1987) is the newest, so C goes with (IV). Option (4) gives C-II, so it fails. Options (1), (2) and (3) all give C-IV, so we need more checks.
Step 4: Settle the middle.
Options (1) and (2) say A-I, which means Meghalaya was created in 1963. That is wrong, since Nagaland got that year. Punjab is 1966 and Meghalaya is 1972, so B-II and A-III. Option (3) gives exactly this.
Step 5: Conclude.
Only option (3) matches all four states.
Final Answer:
The order Nagaland, Punjab, Meghalaya, Goa gives option (3).
\[ \boxed{\text{Option 3}} \]