Use the Fundamental Counting Principle to solve Exercises 29–40.
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Question

Use the Fundamental Counting Principle to solve Exercises 29–40.

A popular brand of pen is available in three colors (red, green, or blue) and four writing tips (bold, medium, fine, or micro). How many different choices of pens do you have with this brand?

Accepted Answer

Hello today we're going to be solving the following problem using the fundamental counting principle, we are told that a furniture store sells their tables in three different materials, plastic, wood or metal. And there are four different links for each table determine how many choices of tables a customer has. So the fundamental counting principle is a rule that is used to count the total number of possible outcomes in a situation. So what it's trying to say is if there is an amount of something and there is m ways of doing something after, then there is n times n n times m ways of performing these actions. So what is trying to say is if you have a certain amount of options offer to you originally and there is a certain amount of options after your original option, then you can just multiply the amount of options together to figure out how many combinations you have. Well here we are given three options for the material of the table, plastic, wood or metal, so we can allow end to equal to three. And we are told that there are four different options for the size of the table 345 or six ft. So we can allow em to be four. Now, what the fundamental counting principle states is that if we just take these options and multiply them together, that's gonna be the total amount of choices offered to us. And that's going to be three times four which is equal to 12 and that's going to be the amount of choices that we have for the tables. And that means that the answer to this problem is going to be a So I hope this video helps you in understanding the fundamental counting principle, and I'll go ahead and see you all in the next video.

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Use the Fundamental Counting Principle to solve Exercises 29–40. A popular brand of pen is available in three colors (red, green, or blue) and four writing tips (bold, medium, fine, or micro). How many different choices of pens do you have with this brand?