Question
Alonzo must choose a shirt and a pair of pants for today's outfit. He has 3 shirts and 2 pairs of pants to choose from. How many different outfits can he make?
Ask by Marsh Gordon. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Alonzo can make 6 different outfits by choosing from 3 shirts and 2 pairs of pants.
Solution
To determine the number of different outfits Alonzo can create, we can use the **fundamental principle of counting**, which states that if there are multiple independent choices to be made, the total number of possible outcomes is the product of the number of options for each choice.
In this case:
1. **Shirt Choices:** Alonzo has **3** different shirts.
2. **Pants Choices:** Alonzo has **2** different pairs of pants.
Since choosing a shirt and a pair of pants are independent decisions, the total number of possible outfits is:
\[
\text{Total Outfits} = \text{Number of Shirts} \times \text{Number of Pants} = 3 \times 2 = 6
\]
**Therefore, Alonzo can make 6 different outfits.**
### Breakdown of Possible Outfits:
Assuming the shirts are labeled **S1, S2, S3** and the pants are labeled **P1, P2**, the possible combinations are:
1. **S1 + P1**
2. **S1 + P2**
3. **S2 + P1**
4. **S2 + P2**
5. **S3 + P1**
6. **S3 + P2**
Each combination represents a unique outfit.
Reviewed and approved by the UpStudy tutoring team
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Bonus Knowledge
To find the total number of different outfits Alonzo can make, you multiply the number of shirt choices by the number of pant choices. With 3 shirts and 2 pairs of pants, Alonzo can create 3 x 2 = 6 unique outfits. So, he has 6 fabulous combinations to rock today! This kind of problem highlights the beauty of combinations in everyday decision-making, from your wardrobe to planning meals! It’s a simple multiplication that can lead to endless creativity in your ensemble choices.