A twenty-something single person is planning a ski vacation. Assume that he has 3 possible destinations: Colorado, Utah, and New England. There are 5 ski areas in Colorado with 4 available times for 4 of the areas, and 3 times for the other area. There are 5 ski areas in Utah with 2 available times for 4 of the areas, and 1 times for the other area. There are 5 ski areas in New England with 4 available times for 4 of the areas, and 2 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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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A twenty-something single person is planning a ski vacation. Assume that he has 3 possible destinations: Colorado, Utah, and New England. There are 5 ski areas in Colorado with 4 available times for 4 of the areas, and 3 times for the other area. There are 5 ski areas in Utah with 2 available times for 4 of the areas, and 1 times for the other area. There are 5 ski areas in New England with 4 available times for 4 of the areas, and 2 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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