Question
Glenn has 4 pants and 3 shirts. How many different pairs of pants and shirts can he wear?
Ask by Schofield Whittaker. in the Philippines
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Glenn can wear 12 different pairs of pants and shirts.
Solution
To determine how many different pairs of pants and shirts Glenn can wear, you can use the **fundamental principle of counting**. This principle states that if there are multiple independent choices to make, the total number of possible combinations is the product of the number of choices for each selection.
Here's how it applies to Glenn's wardrobe:
1. **Number of Pants:** Glenn has **4** different pairs of pants.
2. **Number of Shirts:** Glenn has **3** different shirts.
For each pair of pants, Glenn can choose any of the 3 shirts. Therefore, the total number of different outfits (pairs of pants and shirts) he can create is:
\[
\text{Total Outfits} = \text{Number of Pants} \times \text{Number of Shirts} = 4 \times 3 = 12
\]
**Answer:** Glenn can wear **12** different pairs of pants and shirts.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Glenn can mix and match his clothing in a fun way! With 4 different pants and 3 different shirts, we can calculate the total combinations by multiplying these two numbers together. So, 4 pants multiplied by 3 shirts gives us 12 unique outfits. That means Glenn has a dozen ways to create a fashionable look! Now, let’s say he wants to accessorize or change the vibe completely; adding shoes or hats can really expand his wardrobe! For example, if Glenn had 2 pairs of shoes, he could multiply his existing 12 combinations by 2, resulting in 24 completely different outfits just by changing his footwear. Fashion fun, indeed!
