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

Question

Kevin West

Mathematics

17 March, 15:38

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

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Answers (1)

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Amari Hardin · Answer 1

Number of a trip plans:

1) New England: 2 * 2 + 1 * 3 = 4 + 3 = 7

2) Utah: 3 * 4 + 1 * 3 = 12 + 3 = 15

3) Oregon: 3 * 4 + 1 * 3 = 12 + 3 = 15

In total: 7 + 15 + 15 = 37

Answer: There are 37 possible trip plans.