Question
Don has seven pairs of shoes, nine pairs of pants, and two shirts. If all items are compatible, how many different outfits can he wear? \( \square \) outfits (Type a whole number.)
Ask by Klein Tucker. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Don can wear 126 different outfits.
Solution
1. Don has \(7\) pairs of shoes, \(9\) pairs of pants, and \(2\) shirts.
2. The total number of outfits is the product of the individual choices:
\[
7 \times 9 \times 2
\]
3. Calculate the number of outfits:
\[
7 \times 9 = 63 \quad \text{and} \quad 63 \times 2 = 126
\]
\( 126 \) outfits
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To determine the total number of outfits Don can wear, we can multiply the number of options for shoes, pants, and shirts. Specifically, he has 7 pairs of shoes, 9 pairs of pants, and 2 shirts. Calculating this gives us: \[ 7 \text{ (shoes)} \times 9 \text{ (pants)} \times 2 \text{ (shirts)} = 126 \text{ outfits} \] So, Don can wear a total of \( 126 \) different outfits.
