Final answer:
To code type 1 diabetes with ketoacidosis with coma, the coder should select code E10.1.
Step-by-step explanation:
To code type 1 diabetes with ketoacidosis with coma, the coder should select code E10.1. This code represents type 1 diabetes mellitus with ketoacidosis. When a person with type 1 diabetes experiences ketoacidosis and goes into a diabetic coma, this code is used to accurately document the condition.