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You have 5 letter As, 3 letter Bs, and 2 letter Cs. When you put all the 10 letters down on a table in a

You have 5 letter As, 3 letter Bs, and 2 letter Cs. When you put all the 10 letters down on a table in a row. How many distinguishable orderings are there? Let's assume that the same letters are not distinguishable.

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