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The number of unique video sequences is $\boxed{4200}$.
Question: Three insect species are randomly selected from 10 bee species, 6 butterfly species, and 4 moth species. What is the probability that exactly two are bees and one is a butterfly?
Solution: First, compute the total number of ways to choose 3 species: $\binom{20}{3} = 1140$. The number of favorable outcomes is $\binom{10}{2} \cdot \binom{6}{1} = 45 \cdot 6 = 270$. The probability is:

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