* Different subject areas are broken down in many ways: A university might offer a general "History" degree, but also specialized options like "Medieval History," "Modern History," or "History and Politics," which could all be counted separately or together.
* Modules and variations: Courses often have optional modules, leading to many variations within a single degree title.
* Different universities offer different courses: No central database tracks every single course offered at every UK university.
Therefore, while you could potentially count individual module offerings, arriving at a precise number is practically impossible. The number is likely in the tens of thousands, but that's a rough estimate at best.