Question: An AI startup trains a model using 6 identical blue data batches, 4 identical green data batches, and 3 identical red batches. If the batches are processed one per day over 13 days, how many distinct processing orders are possible?

Sun, 03 May 2026 06:40:57 +0000

Title: How Many Unique Processing Orders Are There? Calculating Orders for Diverse AI Training Batches When training AI models, data batches must be processed systematically, but what happens when batches come in different colors—or infinitely more identical sets? One fascinating question arises: How many distinct daily processing orders exist when an AI startup trains a model using 6 identical blue data batches, 4 identical green batches, and 3 identical red batches over 13 days? ### Understanding the Problem The startup trains an AI model by processing one data batch each day for 13 consecutive days. However, the batches aren’t all unique—there are: