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Use the five sentences below to answer the question. Mark had told him about the foxes. John looked out of the window. Could it be a fox? However, nobody had seen one for months. He thought he saw a shape in the bushes. How many different five-sentence paragraphs can be formed if the paragraph begins with "He thought he saw a shape in the bushes" and ends with "John looked out of the window"? There are \( \square \) different five-sentence paragraphs that can be formed in this situation.

Ask by Adkins Luna. in the United States
Mar 18,2025

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There are 6 different five-sentence paragraphs that can be formed.

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Beyond the Answer

To determine how many different five-sentence paragraphs can be formed under the given conditions, we need to consider the positions of the remaining sentences after "He thought he saw a shape in the bushes" and before "John looked out of the window". The sentences that can fit in between are: 1. Mark had told him about the foxes. 2. Could it be a fox? 3. However, nobody had seen one for months. We have 3 different sentences to place between the first and the last sentence. This means we can arrange these 3 sentences in any order, resulting in permutations. The number of different arrangements (permutations) for 3 sentences is calculated as \(3! = 3 \times 2 \times 1 = 6\). Therefore, the total number of different five-sentence paragraphs that can be formed is \( \boxed{6} \).

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