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Home » Dividing both sides by \(\pi\): - Red Crowns

Dividing both sides by \(\pi\): - Red Crowns

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \frac{3628800}{6 \cdot 120 \cdot 2} = \frac{3628800}{1440} = 2520

📌 Thus, there are 2520 distinct activation sequences.

📌 \boxed{2520}

📌 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

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