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The question asks how many different combinations of outfits (pants, shirts, and shoes) a software engineer can wear without repeating the same combination.

- The engineer has:
  - 3 pairs of pants,
  - 4 shirts,
  - 3 pairs of shoes.

The total number of unique combinations is found by multiplying the number of choices for each item together:

\[
\text{Total combinations} = \text{(Number of pants)} \times \text{(Number of shirts)} \times \text{(Number of shoes)}
\]

\[
\text{Total combinations} = 3 \times 4 \times 3 = 36
\]

Thus, the engineer can go **36 days** without repeating the same combination of pants, shirts, and shoes. The correct answer is **A. 36**.

Would you like further explanation on combinations or the counting principle?

Here are 5 related questions to consider:
1. How would the answer change if the engineer had 5 pairs of pants?
2. What if the engineer only had 2 pairs of shoes?
3. How would the combinations change if the engineer didn’t care about shoes?
4. How is this problem related to probability?
5. Can you think of a real-life scenario where this counting method might be useful?

**Tip:** The counting principle is a helpful way to calculate possible combinations in various situations—be it outfits, menus, or event planning!

A software engineer owns 3 pairs of pants, 4 shirts, and 3 pairs of shoes. How many days can the software engineer go without wearing the same combination of three items?

Find out how to calculate the number of unique outfit combinations a software engineer can create using 3 pairs of pants, 4 shirts, and 3 pairs of shoes. Learn the basic counting principle and how it applies to real-world scenarios.

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