Question: suppose you are a salesperson who must visit the following...
Suppose you are a salesperson who must visit the following 29 cities: Dallas, Tampa, Orlando, Fairbanks, Seattle, Detroit, Chicago, Houston, Arlington, Grand Rapids, Urbana, San Diego, Aspen, Little Rock, Tuscaloosa, Honolulu, New York, Ithaca, Charlottesville, Lynchville, Raleigh, Anchorage, Philadelphia, Phoenix, Jacksonville, Austin, Columbus, El Paso, and Los Angeles. Leave all your answers in factorial form.
(a) How many possible itineraries are there that visit each city exactly once?
(b) Repeat part (a) in the event that the first three stops have already been determined.
(c) Repeat part (a) in the event that your itinerary must include the sequence Anchorage, Fairbanks, Seattle, Chicago, and Detroit, in that order.