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Let me first re-phrase your question: What is the number of (positive) integers less than 10000 (5 digits) and greater than 999 (3 digits)?

The greatest 4 digit integer would be 9999.

The greatest 3 digit integer would be 999.

Let's do some subtraction: 9999 - 999 = 9000

This works because as we count up from 999, each positive integer encountered satisfies your requirements until reaching 10000.

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