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A Businessman in Chicago Is Preparing an Itinerary for a Visit

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Short Answer

A businessman in Chicago is preparing an itinerary for a visit to five major cities. Each city will be visited once and only once. The distance traveled, and hence the cost of the trip, will depend on the order in which he plans his route. How many different itineraries (and trip costs) are possible?
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Definitions:

Range-Of-Motion (ROM)

The total capacity for movement within a joint, often measured by the extent of its bending and straightening capabilities.

Hemiparesis

A partial weakness on one side of the body, often a result of a stroke or brain injury.

Physiotherapy

A healthcare profession aimed at the treatment, maintenance, and restoration of physical function and mobility.

Cerebrovascular Accident (CVA)

A medical term for stroke, characterized by the sudden loss of brain function due to either ischemia or hemorrhage.

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