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**Problem:**
A paint manufacturer has multiple options for its customers. The available choices include:

- **Color**: Red, blue, white, black, green, brown, yellow
- **Type**: Flat, semi-gloss, high-gloss
- **Texture**: Flat, rough, light-grain
- **Use**: Outdoor, indoor

**Question:**
How many different types of paint can be made if you can select one option from each category?

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### Solution:

This is a problem of counting combinations. To find the total number of different types of paint, you need to multiply the number of choices in each category.

1. **Color**: There are 7 options (Red, blue, white, black, green, brown, yellow).
2. **Type**: There are 3 options (Flat, semi-gloss, high-gloss).
3. **Texture**: There are 3 options (Flat, rough, light-grain).
4. **Use**: There are 2 options (Outdoor, indoor).

So, the total number of different types of paint is the product of these numbers:
\[
7 \times 3 \times 3 \times 2 = 126
\]

### Conclusion:
There are **126 different types** of paint that can be made.

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Would you like further clarification or more details?

Here are five related questions to consider:
1. How would the total number of combinations change if a new color option is added?
2. What happens if you restrict the texture to only "flat" for outdoor paints?
3. How many combinations are possible if both "indoor" and "outdoor" options are removed?
4. How many combinations are possible if you exclude one texture option, say "light-grain"?
5. Can you create a similar problem but with an additional category, such as "finish" (e.g., matte, satin)?

**Tip:** When solving combination problems, always break down each category and multiply the available options to find the total.

A paint manufacturer has multiple options for its customers. The available choices include:

- Color: Red, blue, white, black, green, brown, yellow
- Type: Flat, semi-gloss, high-gloss
- Texture: Flat, rough, light-grain
- Use: Outdoor, indoor

How many different types of paint can be made if you can select one option from each category?

Learn how to calculate the total number of different types of paint combinations based on color, type, texture, and use. This combinatorics problem uses the multiplication principle to find that there are 126 different combinations possible. Suitable for students in Grades 6-8.

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