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📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 Question: A blockchain smart contract generates a token sequence using 4 gold tokens, 3 silver tokens, and 2 bronze tokens, where tokens of the same type are indistinguishable. How many distinct sequences of all 9 tokens can be arranged?

📌 Solution: We are arranging 9 tokens in total, where there are 4 identical gold, 3 identical silver, and 2 identical bronze tokens. The number of distinct permutations is given by the multinomial coefficient:

📌 rac{9!}{4! \cdot 3! \cdot 2!}

📌 $ 9! = 362880 $

📌 $ 4! = 24 $, $ 3! = 6 $, $ 2! = 2 $

📌 Denominator: $ 24 imes 6 imes 2 = 288 $

📌 rac{362880}{288} = 1260

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