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Consider an 18 letter word consisting of 9 As and 9 Bs. How many different words(not...

Consider an 18 letter word consisting of 9 As and 9 Bs. How many different words(not necessarily meaningful) can be produced by these letters?

Next, with the same number of A and B, how many combinations of words are there if any combinations of 3As and 6Bs must be in the first 9 letters in the word?

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