Final answer:
The least likely reason for ordering a train out of service is increased passenger demand.
Step-by-step explanation:
The LEAST likely reason for ordering a train out of service would be 4) Increased passenger demand. The other options, mechanical failure, safety concern, and routine maintenance, are all valid reasons for ordering a train out of service. Mechanical failure refers to any issues with the train's functioning, safety concern refers to any potential risks to passengers or crew members, and routine maintenance is necessary to keep the train in good condition.