Math Problem Statement
Keisha must choose a shirt, a pair of pants, and a cap for today's outfit. She has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can she make?
Solution
To solve this problem, we can use the fundamental principle of counting.
Keisha has:
- 2 choices for shirts,
- 2 choices for pants, and
- 3 choices for caps.
The total number of different outfits she can make is calculated by multiplying the number of choices for each item:
So, Keisha can make 12 different outfits.
Would you like further explanation or have any questions?
Here are some related questions for further practice:
- What if Keisha had 4 shirts instead of 2? How many outfits could she make then?
- How would the total number of outfits change if she had only 1 cap?
- If Keisha adds a pair of shoes with 2 options, how many total outfits would she have?
- What if Keisha had 3 shirts, 3 pants, and 3 caps—how many outfit combinations would be possible?
- How does the fundamental principle of counting help in calculating combinations in larger sets?
Tip: When faced with multiple independent choices, multiply the number of choices for each category to find the total possible combinations.
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Multiplication Principle
Formulas
Total combinations = (choices for shirts) * (choices for pants) * (choices for caps)
Theorems
Fundamental Principle of Counting
Suitable Grade Level
Grades 4-6