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?
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- Number of such permutations: $ 4! = 24 $
- Thus, there are 24 valid codes.
- oxed{24}
- 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 $
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