How many types of engine?

How many types of engine?
The engine are classified based on combustion (ignition), fuel used, cooling, application and constructions.

Based on the combustion type : 1. External combustionengines and 2. Internal combustion engines

Based on fuel used : 1. Diesel engines, 2. Petrol engines, 3. CNG engines and LPG engines

Based on cooling system : 1. Air cooled engines and 2. Liquid cooled engines

Based on applications : 1. Statinary engine 2. Rocket engine and 3. Automobile engine

Based on construction : 1. Inline engines, 2. Opposed engines, 3. Rotary engine, 4. V-engines and 5. W engines