1. How many ways are there to write the number 1000 as the sum of 3 positive integers? Justify, showing any relevant wor
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1. How many ways are there to write the number 1000 as the sum of 3 positive integers? Justify, showing any relevant wor
1. 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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