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Home » Total favorable roll sequences (before sum constraint): - Feedz API

Total favorable roll sequences (before sum constraint): - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 We have a total of 9 documents: 5 unique manuscripts and 4 identical copies of a treatise. The number of distinct arrangements of these items is given by the formula for permutations of multiset:

📌 \frac{n!}{k_1! \cdot k_2! \cdots k_m!}

📌 Here, \( n = 9 \) (total items), with 4 identical items (the copies), and the remaining 5 are distinct. So, the number of distinct arrangements is:

📌 \frac{9!}{4!}

📌 Compute \( 9! \) and \( 4! \):

📌 9! = 362880, \quad 4! = 24

📌 \frac{362880}{24} = 15120

📌 Therefore, the number of distinct ways to arrange the documents is \(\boxed{15120}\).

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