Final answer:
The code that should be listed first for a newly admitted patient with a diagnosis of 'diabetes due to previous pancreatectomy' is E13, Other Specified Diabetes Mellitus.
Step-by-step explanation:
The code that should be listed first for a newly admitted patient with a diagnosis of 'diabetes due to previous pancreatectomy' is E13, Other Specified Diabetes Mellitus.
This is because this code is specific to diabetes and indicates that the diabetes is due to some other specified cause, in this case the previous pancreatectomy.
The other options listed in the question are not appropriate for this particular diagnosis.