Home / 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?

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?

February 22, 2026

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 $