Faith and Shawna are shopping for shirts. The available styles are short sleeve (S), tank top (T), and long sleeve (L). They made an organized list to show all possible outcomes if each girl buys a new shirt. Is the list complete? Explain. \( (\mathrm{S}, \mathrm{S}),(\mathrm{S}, \mathrm{T}),(\mathrm{S}, \mathrm{L}),(\mathrm{T}, \mathrm{S}),(\mathrm{T}, \mathrm{T}),(\mathrm{T}, \mathrm{L}),(\mathrm{L}, \mathrm{S}),(\mathrm{L}, \mathrm{T}),(\mathrm{L}, \mathrm{L}) \) A. Yes, all possible outcomes are listed. B. No, they are missing the combination of 1 short sleeve shirt and 1 tank top. C. No, they are missing the combination of 1 long sleeve shirt and 1 tank top. D. No, they are missing the combination of 2 tank tops.
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Let’s break it down! There are three shirt styles: short sleeve (S), tank top (T), and long sleeve (L). Each girl can pick any of the three, meaning the total combinations are \(3 \times 3 = 9\). Now, if we look at the list provided, it covers every possible pairing of shirt styles the girls can choose. So yes, it’s all there! Now, did you know that this type of problem relates to basic combinatorics? Combinations help us understand the number of ways we can pair items or make choices. It’s used not just in shopping scenarios but also in designing outfits for fashion shows, planning meals, or even team formations in sports. A simple list can help avoid chaos - and we all love a little order in our lives!
