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(24 points) How many positive integers between 1000 and 9999 inclusive (a) are divisible by 9 ? (b) are even? (c) have distinct digits? (d)

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(24 points) How many positive integers between 1000 and 9999 inclusive (a) are divisible by 9 ? (b) are even? (c) have distinct digits? (d) are not divisible by 3 ? (e) are divisible by 5 or 7 ? (f) are not divisible by either 5 or 7 ? (g) are divisible by 5 but not by 7 ? (h) are divisible by 5 and 7

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