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Chapter 11: Problem 30

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
There are 12 different choices of pens with this brand.

Step by step solution

01

Identify the number of choices for each category

First and foremost, identify how many choices are available for each category. In this case, there are 3 colors (red, green, blue) and 4 types of writing tips (bold, medium, fine, micro) for the pens.
02

Apply the counting principle

The counting principle states that if you can do one task in a number of ways and a second task in b number of ways, then both tasks can be done in a*b number of ways. This principle applies to this problem, where 鈥榓鈥� is the number of choices for pen color and 鈥榖鈥� is number of choices for pen tips.
03

Calculate the total number of pen choices

Now, calculate the total number of combinations using the counting principle. Multiply the number of color choices by the number of tip choices (3 pen colors * 4 pen tips).

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