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How many ways are there to write the number 1000 as the sum of 3 positive integers? Justify, showing any relevant work. You should distinguish

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How many ways are there to write the number 1000 as the sum of 3 positive integers? Justify, showing any relevant work. You should distinguish between different orderings of the same numbers; for example, 1 + 1 + 998, 1 + 998 + 1 and 998 + 1 + 1 should count as three different ways of writing 1000

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