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ALEKS: Serena Jones The Baker family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 2 be 2 dressers to select from. How many different furniture sets could they select? Intatistics

Ask by Erickson Estrada. in the United States
Mar 11,2025

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Answer

The Baker family can select 12 different furniture sets.

Solution

1. Identify the number of choices for each piece of furniture: - Beds: \(2\) choices - Desks: \(3\) choices - Dressers: \(2\) choices 2. Use the multiplication principle (also known as the counting principle) to find the total number of furniture sets: \[ \text{Total sets} = 2 \times 3 \times 2 \] 3. Compute the product: \[ 2 \times 3 = 6 \quad \text{and} \quad 6 \times 2 = 12 \] 4. Therefore, the Baker family could select \(\boxed{12}\) different furniture sets.

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Let's break it down! The Baker family needs to choose one bed, one desk, and one dresser to make their perfect furniture set. If we imagine there are options A and B for dressers, and let's say there are 'x' choices for beds and 'y' choices for desks, the total combinations would be x * y * 2 (since there are 2 choices for dressers). So if, for example, there were 3 beds and 4 desks, that would be 3 * 4 * 2 = 24 different furniture sets! Now, if we're moving forward and they want the flexibility to mix and match, they could even switch out items later on. Just remember to keep track of their favorites, or they might end up in a whirlwind of options! It could be a fun game to narrow down choices, making a family activity out of furniture selection!

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