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Home » Positive Solution:** \( x \approx 2.5 \) meters - AssociationVoting

Positive Solution:** \( x \approx 2.5 \) meters - AssociationVoting

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 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?

📌 Solution: We compute the number of distinct permutations of a multiset with 13 total batches: 6 blue (B), 4 green (G), and 3 red (R). The number of sequences is:

📌 \frac{13!}{6! \cdot 4! \cdot 3!}

📌 Compute step-by-step:

📌 13! = 6227020800,\quad 6! = 720,\quad 4! = 24,\quad 3! = 6

📌 \frac{6227020800}{720 \cdot 24 \cdot 6} = \frac{6227020800}{103680} = 60060

📌 Thus, the number of distinct processing orders is 60,060.

📌 \boxed{60060}

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