Use the multiplication principle to solve. A home improvement store website listed 272 different kinds of glass wall tile, 37 colors of acrylic grout, 19 kinds of mortar trowels, and 15 different kinds of mortar. How many ways are there to buy the products needed for a tile project? There are different ways to buy the products needed.
Use the multiplication principle to solve. A home improvement store website listed 272 different kinds of glass wall tile, 37 colors of acrylic grout, 19 kinds of mortar trowels, and 15 different kinds of mortar. How many ways are there to buy the products needed for a tile project? There are different ways to buy the products needed.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Use the Multiplication Principle to Solve**
A home improvement store website listed 272 different kinds of glass wall tile, 37 colors of acrylic grout, 19 kinds of mortar trowels, and 15 different kinds of mortar. How many ways are there to buy the products needed for a tile project?
There are [ ] different ways to buy the products needed.
---
**Explanation:**
To determine the total number of ways to buy the products needed for a tile project, we use the **Multiplication Principle**. This principle states that if there are several choices, the total number of combinations is the product of the number of choices for each category.
1. **Glass Wall Tile:** 272 options
2. **Acrylic Grout:** 37 options
3. **Mortar Trowels:** 19 options
4. **Mortar:** 15 options
**Calculation:**
The total number of ways to combine these products is calculated as follows:
\[
272 \times 37 \times 19 \times 15
\]
This product gives the total number of different combinations of these items that can be purchased for the project. Place the result in the provided blank space to find the solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3dbf7f3-2b01-42b1-b2c1-9de501fbe463%2F29fa7143-764a-4cbc-9b8a-6f906f91bbff%2Fkf54jbc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Use the Multiplication Principle to Solve**
A home improvement store website listed 272 different kinds of glass wall tile, 37 colors of acrylic grout, 19 kinds of mortar trowels, and 15 different kinds of mortar. How many ways are there to buy the products needed for a tile project?
There are [ ] different ways to buy the products needed.
---
**Explanation:**
To determine the total number of ways to buy the products needed for a tile project, we use the **Multiplication Principle**. This principle states that if there are several choices, the total number of combinations is the product of the number of choices for each category.
1. **Glass Wall Tile:** 272 options
2. **Acrylic Grout:** 37 options
3. **Mortar Trowels:** 19 options
4. **Mortar:** 15 options
**Calculation:**
The total number of ways to combine these products is calculated as follows:
\[
272 \times 37 \times 19 \times 15
\]
This product gives the total number of different combinations of these items that can be purchased for the project. Place the result in the provided blank space to find the solution.
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