2. I have 10 shirts, 8 pairs of pants, 2 belts, and 3 pairs of shoes. How many different outfits could I wear? Circle one: Counting Principle Permutation Combination Set Up: Answer:

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Question 2: Outfit Combinations

**Problem Statement:**

I have 10 shirts, 8 pairs of pants, 2 belts, and 3 pairs of shoes. How many different outfits could I wear?

**Options to Choose From:**

- Counting Principle
- Permutation
- Combination

**Set Up:** 

_________________

**Answer:** 

_________________

---

#### Explanation:

To solve this problem, you need to determine the total number of different outfits that can be made from the given clothing items. This question involves selecting one shirt, one pair of pants, one belt, and one pair of shoes to form each outfit.

To find the total number of possible outfits, use the **Counting Principle**, which involves multiplying the number of options for each item. 

For example:
- Shirts: 10 options
- Pants: 8 options
- Belts: 2 options
- Shoes: 3 options

Thus, the total number of different outfits is computed by multiplying these numbers together:

\[ \text{Total Outfits} = 10 \times 8 \times 2 \times 3 \]

Fill in the setup and answer with your computation.
Transcribed Image Text:### Question 2: Outfit Combinations **Problem Statement:** I have 10 shirts, 8 pairs of pants, 2 belts, and 3 pairs of shoes. How many different outfits could I wear? **Options to Choose From:** - Counting Principle - Permutation - Combination **Set Up:** _________________ **Answer:** _________________ --- #### Explanation: To solve this problem, you need to determine the total number of different outfits that can be made from the given clothing items. This question involves selecting one shirt, one pair of pants, one belt, and one pair of shoes to form each outfit. To find the total number of possible outfits, use the **Counting Principle**, which involves multiplying the number of options for each item. For example: - Shirts: 10 options - Pants: 8 options - Belts: 2 options - Shoes: 3 options Thus, the total number of different outfits is computed by multiplying these numbers together: \[ \text{Total Outfits} = 10 \times 8 \times 2 \times 3 \] Fill in the setup and answer with your computation.
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