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A ternary number is a number made using in each of its positions exactly one of the numbers 0, 1, or 2. Ex.: 220111 is

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A ternary number is a number made using in each of its positions exactly one of the numbers 0, 1, or 2. Ex.: 220111 is a ternary number. How many ternary numbers are there of length n? Prove your result

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