In: Statistics and Probability
Assume that she has 3 possible destinations: Colorado, New England, and Utah. There are 3 ski areas in Colorado with 2 available times for 2 of the areas, and 3 times for the other area. There are 5 ski areas in New England with 3 available times for 4 of the areas, and 2 times for the other area. There are 3 ski areas in Utah with 2 available times for 2 of the areas, and 3 times for the other area. (A "time" refers to a weekend for which there are vacancies at the ski lodge.) A trip plan involves the selection of a location, ski area, and a time.
How many possible plans are there?