Solution: First, we calculate the total number of ways to select and arrange 5 manuscripts from 10, ensuring that at least 2 are astronomy-related. We consider three valid cases: exactly 2 astronomy manuscripts, exactly 3, and exactly 4.

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**Explore the Hidden Order Behind 10 Astronomy Concepts: A Strategic Guide to Pattern Recognition** Did you notice the growing buzz around celestial patterns, data-driven astronomy, and machine-assisted trend analysis? In today’s rapidly evolving scientific landscape, professionals and curious minds alike are exploring how structured approaches unlock deeper understanding—especially when dealing with complex datasets like astronomical observations. What if solving a problem like selecting and arranging information follows a precise, calculated path? This is where pattern-based selection becomes a powerful tool. **Why This Matters in 2025** Astronomy generates vast amounts of data—millions of observations per night—to identify cosmic phenomena, track planetary movements, and predict celestial events. As digital platforms and AI tools amplify data processing, the need for clear, logical frameworks to analyze patterns grows. Selecting and arranging five key manuscripts from ten without exclusion or random bias taps into this demand: a methodical, rule-based strategy ensures completeness while preserving relevance.