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doubt with a certain type of combinations question

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There are 8 letters AABBBBCD, we need to make codes of 3 each, and every code should be unique. What is the total no. of unique codes that can be made?

I am posting this query to understand combinations better. If I was given 8 unique letters, I'd have simple done this... 8!/8-3! = 336
But if there are similar letters, what happens in such a case?

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