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solve the problem by applying the fundamental counting principal with two groups of items.
Shaun is joining a music club. as part of ther 4-cd introductory package she can choose from 12 rock, 10 alternative, 7 country, and 5 classical. if Shaun choose one selection from each category, how many ways can she choose her introductory package?
![Sab](/images/users/0/1/128x128.jpeg)
4 years ago
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To solve this problem using the Fundamental Counting Principle, we need to multiply the number of choices in each category.
1. First, we have 12 choices for the rock CD.
2. Then, we have 10 choices for the alternative CD.
3. Next, we have 7 choices for the country CD.
4. Finally, we have 5 choices for the classical CD.
To determine the total number of ways Shaun can choose her introductory package, we multiply the number of choices in each category:
12 choices × 10 choices × 7 choices × 5 choices = 4,200 ways
Therefore, Shaun can choose her introductory package in 4,200 different ways.