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From 1000 to 9999 (inclusive) there are 9999 - 1000 + 1 = 9000 integers. Half of which are even, half of which are odd. So the answer is 9000/2 = 4,500.

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Q: How many odd integers are there from 1000 through 9999?
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How many integers between 1000 and 9999 are divisible by 5 or 7?

There are 2828 integers between 1000 and 9999.


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