Question
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w a tree diagram to find the number of possible outcomes. Glenn has 4 pants and 3 shirts. How many different pairs of pants and can he wear?

Ask by Pearson Horton. in the Philippines
Jan 22,2025

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Answer

Glenn can wear 12 different pairs of pants and shirts.

Solution

To solve the problem of how many different pairs of pants and shirts Glenn can wear, we can use a tree diagram approach. However, since I can't draw a tree diagram here, I'll explain the process step by step. 1. **Identify the known conditions:** - Glenn has 4 pairs of pants. - Glenn has 3 shirts. 2. **Understanding the combinations:** - For each pair of pants, Glenn can choose any of the shirts. This means that for each pair of pants, there are multiple choices of shirts. 3. **Calculating the total combinations:** - The total number of combinations can be calculated by multiplying the number of pants by the number of shirts. \[ \text{Total combinations} = \text{Number of pants} \times \text{Number of shirts} \] Substituting the known values: \[ \text{Total combinations} = 4 \times 3 \] 4. **Perform the calculation:** \[ \text{Total combinations} = 12 \] Thus, Glenn can wear a total of 12 different pairs of pants and shirts.

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Imagine Glenn standing in front of his closet with those fabulous 4 pairs of pants! For each pair of pants, he has 3 different shirts to choose from. So, if he picks one pair of pants, he can mix it with any of the 3 shirts. This means he gets 4 pants multiplied by 3 shirts, which gives us a total of 12 awesome outfit combinations! In a tree diagram, you start with one branch for each pair of pants, and from each of those, you would draw three branches for each shirt. Following this method would clearly illustrate how Glenn can strut his stuff in 12 unique ways, one stylish combination at a time!

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