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:

2×2×3=122 \times 2 \times 3 = 12

So, Keisha can make 12 different outfits.

Would you like further explanation or have any questions?

Here are some related questions for further practice:

  1. What if Keisha had 4 shirts instead of 2? How many outfits could she make then?
  2. How would the total number of outfits change if she had only 1 cap?
  3. If Keisha adds a pair of shoes with 2 options, how many total outfits would she have?
  4. What if Keisha had 3 shirts, 3 pants, and 3 caps—how many outfit combinations would be possible?
  5. 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