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The numerator must be zero, so: - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 5**Question:** A bioengineer is working on a project to restore a wetland using genetically engineered plants that remove heavy metals from the soil. They have developed 3 types of plants: Type A, Type B, and Type C. If they plant one type in each of 5 distinct plots and repeat the plant type as needed, how many different planting arrangements can be made?

📌 Solution:** Each of the 5 plots can be planted with any one of the 3 types of plants. Thus, for each plot, there are 3 choices. The total number of arrangements is calculated by raising the number of choices to the power of the number of plots, which is \(3^5\).

📌 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243

📌 Therefore, there are \(\boxed{243}\) different planting arrangements possible.

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