Question

you have a 3 tops, 2 pants and 2 shoes. how many total outfit options are represented?

Explanation:

Step1: Apply the counting principle

The counting principle states that if there are \(m\) ways to do one thing, \(n\) ways to do a second thing, and \(p\) ways to do a third thing, then there are \(m\times n\times p\) ways to do all three things together. Here, \(m = 3\) (number of tops), \(n=2\) (number of pants), and \(p = 2\) (number of shoes).

Step2: Calculate the product

We calculate \(3\times2\times2\). First, \(3\times2=6\), then \(6\times2 = 12\).

Answer:

12