5Question: A research team is formed by selecting 4 experts from a pool of 7 mathematicians, 5 physicists, and 6 computer scientists. How many ways can the team be formed if it must include at least one expert from each discipline?

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

**How Many Ways Can a Research Team of Four Be Formed with Experts from Math, Physics, and Computer Science?**
Gaining momentum in academic collaboration and innovation-driven platforms, a common question among researchers, university planners, and industry teams is: how many ways can a team of four experts be selected from a mix of mathematicians, physicists, and computer scientists—ensuring at least one from each field? This query reflects growing interest in interdisciplinary teams, especially as complex problems increasingly demand integrated STEM expertise. With seven mathematicians, five physicists, and six computer scientists available, understanding the combinations helps guide effective team formation for projects, grants, or collaborative research. **Why This Question Matters in Current US STEM Discussions** In the evolving innovation ecosystem across U.S. universities and tech sectors, forming diverse expert teams is no longer optional—it’s essential. Recent trends highlight how breakthroughs in AI, quantum computing, and data science emerge from cross-disciplinary collaboration. Public discourse around workforce development, research funding, and emerging technologies naturally amplifies interest in how teams are structured. Whether planning academic programs, launching innovation challenges, or building grant proposals, knowing the framework for assembling inclusive, balanced teams supports better decision-making and strategic planning. **Clear Explanation of the Combinations**