Question

1. john has 4 pair of shoes, 6 tops, and 8 pair of pants, how many different outfits can she make?

Explanation:

Step1: Identify the multiplication principle

To find the number of different outfits, we use the multiplication principle of counting, which 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, the number of ways to choose shoes is \(4\), tops is \(6\), and pants is \(8\).

Step2: Calculate the total number of outfits

We multiply the number of choices for each item: \(4\times6\times8\). First, calculate \(4\times6 = 24\). Then, calculate \(24\times8=192\).

Answer:

192