Problem 74 - College Algebra

Question

Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.

Step-by-Step Solution

Answer

The student can create 24 different outfits.

Step 1: Problem Formulation

Create a scenario where a student has to decide what to wear from 3 shirts, 2 pairs of trousers, and 4 pairs of shoes.

Step 2: Apply the Fundamental Counting Principle

According to the Fundamental Counting Principle, for the total number of different outfits that can be worn is calculated by multiplying the number of ways each event can occur. This is \(3 \times 2 \times 4 = 24\)

Step 3: Solution Statement

Therefore, using the Fundamental Counting Principle, the student can create 24 different outfits based on these clothing items.