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? 80 14 84 16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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**.
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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