A builder of modular homes would like to impress his potential customers with the variety of styles of his houses. For each house, there are blueprints for three different living rooms, four different bedroom configurations, and two different garage styles. In addition, the outside can be finished in cedar shingles or brick. How many different houses can be designed from these plants? a.48b.60c.18d.36e.72
Question
A builder of modular homes would like to impress his potential customers with the variety of styles of his houses. For each house, there are blueprints for three different living rooms, four different bedroom configurations, and two different garage styles. In addition, the outside can be finished in cedar shingles or brick. How many different houses can be designed from these plants? a.48b.60c.18d.36e.72
Solution
To solve this problem, you need to multiply the number of options for each feature of the house together. This is because each feature is independent of the others, meaning the choice of one does not affect the choices for the others.
Here's how you do it:
- Living rooms: There are 3 options.
- Bedroom configurations: There are 4 options.
- Garage styles: There are 2 options.
- Outside finish: There are 2 options (cedar shingles or brick).
Multiply these together to get the total number of different houses that can be designed:
3 (living rooms) * 4 (bedrooms) * 2 (garages) * 2 (outside finishes) = 48 different houses.
So, the answer is a. 48.
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