Question

question
omar is trying to pick out an outfit for the first day of school. he can choose from 2 pairs of pants, 3 t - shirts, and 6 pairs of shoes. how many different outfits does omar have to choose from?
answer attempt 1 out of 2

Explanation:

Step1: Identify the counting principle

This is a problem of counting the number of combinations using the multiplication principle, 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.

Step2: Apply the multiplication principle

Here, the number of ways to choose pants \(m = 2\), the number of ways to choose t - shirts \(n=3\), and the number of ways to choose shoes \(p = 6\).
Using the multiplication principle, the total number of different outfits is \(2\times3\times6\).
First, calculate \(2\times3=6\). Then, calculate \(6\times6 = 36\).

Answer:

36