Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem Solving: Outfit Combinations**
**Problem Statement:**
A woman's clothing store has designs for 7 shirts, 3 pairs of pants, and 4 jackets. How many shirt-pants-jacket outfits are possible?
**Answer Choices:**
- 80
- 14
- 84
- 16
**Explanation:**
To determine the number of possible outfits, you need to multiply the number of choices for each clothing item.
For shirts, there are 7 options. For pants, there are 3 options. For jackets, there are 4 options.
The total number of outfits can be calculated as follows:
\[
7 \, (\text{shirts}) \times 3 \, (\text{pants}) \times 4 \, (\text{jackets}) = 84 \, \text{outfits}
\]
Thus, the correct answer is **84**.](https://content.bartleby.com/qna-images/question/ccccde1e-6024-45a4-93b0-16394f657075/cd499197-3304-4e10-82f1-a95a13d3ef27/t0gy2a_processed.png)
Transcribed Image Text:**Problem Solving: Outfit Combinations**
**Problem Statement:**
A woman's clothing store has designs for 7 shirts, 3 pairs of pants, and 4 jackets. How many shirt-pants-jacket outfits are possible?
**Answer Choices:**
- 80
- 14
- 84
- 16
**Explanation:**
To determine the number of possible outfits, you need to multiply the number of choices for each clothing item.
For shirts, there are 7 options. For pants, there are 3 options. For jackets, there are 4 options.
The total number of outfits can be calculated as follows:
\[
7 \, (\text{shirts}) \times 3 \, (\text{pants}) \times 4 \, (\text{jackets}) = 84 \, \text{outfits}
\]
Thus, the correct answer is **84**.
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