I recently learned, from the ever-illuminating Simon Willison, that Google has released a new model, gemini-2-0-flash-thinking-exp. So, naturally, I posed it a question, a little puzzle if you will.

Given the following conditions, how many ways can Professor Y assign six different books to four different students?

  • The most expensive book must be assigned to student X.
  • Each student must receive at least one book.

It took the model some time, a moment of digital contemplation, to complete the task. But it did, correctly yielding the answer 390. So now, alongside gpt-o1, we have another model capable of solving this combinatorial problem, a problem that, it must be said, eludes most of my students. It seems that these “inference scaling” based models will be able to solve more such problems, each one a small victory for the silicon mind. Another reason, perhaps, why I no longer set homework and only give quizzes, a small act of surrender in the face of the inevitable.