Final answer:
Brooklyn can create 20 different outfits for the first day of school by using the counting principle to multiply the number of choices for pants, t-shirts, and shoes (2 x 5 x 2).
Step-by-step explanation:
The question is about calculating the total number of different outfits Brooklyn can have from her given options. To find this, we use the counting principle, which is a fundamental concept in probability and combinatorics. Brooklyn has 2 pairs of pants, 5 t-shirts, and 2 pairs of shoes to choose from.
According to the counting principle, we multiply the number of options for each item of clothing to find the total number of outfit combinations. So, the calculation is as follows:
- Pants: 2 options
- T-Shirts: 5 options
- Shoes: 2 options
We multiply these together:
2 (pants) x 5 (t-shirts) x 2 (shoes) = 20 different outfits
Therefore, Brooklyn has 20 different outfit combinations to choose from for the first day of school.