How many different ways can a nine digit number be written?

How many different ways can a nine digit number be written?

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For example : 121212121, order doesnt matter how many different ways can you arrange the digets?

Too many to count would be my best guess.

9 times 9 times 9 times 9 times 9 times 9 times 9 times 9 times 9 =
387 420 489

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