A twenty-something single person is planning a ski vacation. Assume that he has 4 possible destinations: Colorado, Utah, Oregon, and New England. There are 3 ski areas in Colorado with 3 available times for 2 of the areas, and 1 times for the other area. There are 2 ski areas in Utah with 1 available times for 1 of the areas, and 3 times for the other area. There are 3 ski areas in Oregon with 1 available times for 2 of the areas, and 3 times for the other area. There are 4 ski areas in New England with 2 available times for 3 of the areas, and 1 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?
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