Question: A science policy committee of 6 members is to be selected from 10 scientists and 8 engineers. If the committee must include at least 2 engineers and at least one scientist with artificial intelligence expertise (3 of the 10 scientists are AI experts), how many such committees can be formed?

Fri, 01 May 2026 19:38:41 +0000

**How Fewer Engineers and Targeted AI Expertise Could Shape Science Policy Leadership** In an era where technological innovation drives national strategy, shaping science policy committees with the right blend of expertise has become a pivotal challenge. As tech advances blur traditional boundaries, governments increasingly face tough questions about structure: What skills ensure inclusive, forward-thinking decision-making? A current puzzle highlighted in policy discussions centers on forming a 6-member science advisory committee from 10 scientists and 8 engineers. The key constraints? At least two engineers must be included, and at least one member must possess expertise in artificial intelligence—would three of the 10 scientists hold this specialized knowledge. This isn’t just a mathematical exercise; it reflects a broader national conversation on how we design expert bodies that balance technical depth and strategic vision. The intersection of engineering and AI expertise matters because modern science policy increasingly intersects with digital infrastructure, ethical AI deployment, and cross-disciplinary integration. With only two engineers