Question
At a lumber company that sold shelves, a customer could choose from 5 types of wood, 5 different widths and 4 different lengths. How many different types of shelves could be ordered? O 60 types 100 types o 125 types 40 types 014 types
Ask by Weber Wright. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 100 different types of shelves that could be ordered.
Solution
1. We use the multiplication principle, where the total number of different types is the product of the number of options in each category.
2. The customer can choose from:
- \(5\) types of wood,
- \(5\) different widths,
- \(4\) different lengths.
3. So, the total number of different types of shelves is:
\[
5 \times 5 \times 4 = 100.
\]
Thus, there are \(100\) different types of shelves that could be ordered.
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Simplify this solution Bonus Knowledge
To find the total number of different shelves that could be ordered, you simply multiply the number of choices available in each category. In this case, there are 5 types of wood, 5 widths, and 4 lengths. So, 5 (types of wood) x 5 (widths) x 4 (lengths) gives you a total of 100 different types of shelves that can be ordered! The answer is 100 types! So if you're ever at that lumber company deciding what kind of shelf to go for, just remember there are 100 fabulous options waiting for you to choose from! Happy shelf shopping!
