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📰 Question: An anthropologist studying a remote community observes that families celebrate festivals using three types of symbolic tokens: red, blue, and green. Each family uses exactly 8 tokens in a sequence during a ritual, and the order matters. If tokens of the same color are indistinguishable, how many distinct sequences can be formed using 3 red, 3 blue, and 2 green tokens?
📰 Solution: We are asked to find the number of distinct permutations of a multiset. The total number of tokens is 8, consisting of 3 red, 3 blue, and 2 green tokens. Since tokens of the same color are indistinguishable, the number of distinct sequences is given by the multinomial coefficient:
📰 Thus, there are 560 distinct ritual sequences possible.
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