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this is a combination question. Assuming the letters cannot be used again and all letters make words of the same length you do the following:

There are 9 letters so:

it is 9x8x7x6x5x4x3x2x1 = 362,800.

Because it has 2 of the same letter (a), I think you should take away from this 8x7x6x5x4x3x2x1, i.e. take away 40,320.

So I think the answer is 322480.

I am not sure if this is right, but the methodology of the first part (i.e. no repeating letters) is correct

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