A paint manufacturer wishes to create a variety of different paints. The categories include color, type, texture, and use.

- There are 8 different colors.
- There are 2 different types.
- There are 3 different textures.
- There are 2 different uses.

How many different kinds of paint can be made if a person chooses one color, one type, one texture, and one use?

There are 96 different kinds of paint that can be made by the paint manufacturer, based on the given categories of color, type, texture, and use by applying the mathematical rule of product.

The subject of this question is mathematics, specifically a branch of mathematics known as combinatorics, which deals with the study of counting, arrangement, and combination. In this case, we're dealing with a basic principle known as the rule of product. This rule says that if there are n ways to do one task and m ways to do another, then there are n*m ways to do both.

In the scenario provided by the paint manufacturer, they can choose from 8 colors, 2 types, 3 textures and 2 uses. By applying the rule of product, the total number of paint combinations the manufacturer can make would be: 8 colors * 2 types * 3 textures * 2 uses = 96 different combinations of paint.

Learn more about the topic of Rule of Product here:

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