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Chapter 11: Problem 3

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?

Short Answer

Expert verified
Therefore, there are 12 different choices of pens available with this brand.

Step by step solution

01

Identify the number of ways for each event

Firstly, examine the two events independently. There are three possible colors (red, green, blue) for the pen and four possible types of writing tips (bold, medium, fine, micro). Therefore, it can be said that there are 3 ways to choose a color and 4 ways to choose a writing tip.
02

Apply multiplication principle

According to the multiplication principle, to find the total number of choices of pens from this brand, multiply the number of ways to choose the color by the number of ways to choose the writing tip. Applying the multiplication principle, we get \(3 (colors) * 4 (writing tips) = 12\). Hence, there are 12 unique possibilities or choices.

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