Solution: We need to count the number of permutations of 6 distinct experiments from 12, with the restriction that no two quantum mechanics experiments (Q) are adjacent.

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**How to Navigate Complex Permutation Logic in Scientific Research and Beyond**
*Curious about counting unique experiment combinations safely? This exploration reveals how restriction rules shape real-world data variability—with implications across coding, design, and innovation.* In the evolving landscape of scientific inquiry, experimenting with controlled variables demands precision—especially when blending distinct categories with structural constraints. A pressing challenge: counting the number of valid permutations of six unique experiments selected from twelve, ensuring no two quantum mechanics experiments (Q) appear side by side. This seemingly niche problem reflects broader principles in computational design, where constraint-based algorithms predict feasibility, optimize resource allocation, and prevent overlapping dependencies in complex systems. For curious minds navigating digital tools and data-driven workflows, understanding this combinatorial puzzle illuminates smarter approaches to problem-solving across STEM fields and tech applications. --- ### Why the Combinatorics Restriction Matters