how many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of shoes

To find the total number of outfit combinations that can be put together, we need to multiply the number of choices for each clothing item.

- Number of shirts: 6
- Number of pairs of pants: 3
- Number of pairs of shoes: 4

The total number of combinations is calculated by multiplying these numbers together:

\[
6 \times 3 \times 4 = 72
\]

So, **72 different outfit combinations** can be made.

Would you like more details on how to apply this to other scenarios, or do you have any other questions?

Here are five related questions for further practice:
1. How many outfit combinations can be created with 8 shirts, 5 pants, and 6 shoes?
2. If you add a hat to your outfit options, and you have 2 hats, how many total combinations can be made?
3. What is the probability of randomly selecting a specific shirt and pair of pants?
4. How many combinations can be made if you only consider shirts and pants, ignoring shoes?
5. If 2 more shirts are added, how does that affect the total number of combinations?

**Tip:** When dealing with combinations, remember that the total number of combinations is found by multiplying the number of choices available for each category.

Discover how many outfit combinations can be created from 6 shirts, 3 pairs of pants, and 4 pairs of shoes using the multiplication principle in combinatorics. This problem involves calculating permutations of clothing items.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation