Step 1: The goal.
We arrange the steps of DNA fingerprinting in the right laboratory order.
Step 2: Start with the DNA.
First you need the material itself, so you obtain or extract the DNA from the sample. That is step B.
Step 3: Cut it up.
Next the long DNA is cut into many pieces using restriction enzymes. This fragmentation is step D.
Step 4: Sort the pieces.
The fragments are then separated by size using gel electrophoresis. This separation is step A.
Step 5: Make them single-stranded, then blot.
The double-stranded fragments are denatured into single strands (step C) so a probe can later bind. Finally they are transferred onto a membrane by blotting (step E).
Step 6: Conclusion.
The order is B, D, A, C, E, so the answer is "B, D, A, C, E". \[ \boxed{\text{B, D, A, C, E}} \]