1. **Problem statement:** We have 6 models from 3 continents: 2 from Europe, 2 from South America, and 2 from North America. We want to arrange them so that models from the same continent stand next to each other.
2. **Understanding the problem:** We treat each continent's pair as a block since they must stand together. So, we have 3 blocks: Europe (E), South America (S), and North America (N).
3. **Step 1: Arrange the blocks:** The 3 blocks can be arranged in $$3! = 6$$ ways.
4. **Step 2: Arrange models within each block:** Each block has 2 models, which can be arranged in $$2! = 2$$ ways.
5. **Step 3: Calculate total arrangements:** Multiply the arrangements of blocks by the arrangements within each block:
$$3! \times (2!)^3 = 6 \times 2 \times 2 \times 2 = 6 \times 8 = 48$$
6. **Answer:** There are $$48$$ ways to arrange the models so that those from the same continent stand next to each other.
Model Arrangements 03243E
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