How many integers between 1000 and 9999 have exactly two digits the same?

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How many integers between 1000 and 9999 (4 digits), contain only the digits 1,2,3,4,5,6 and 7, and no digit appears twice?

How many integers between 100 and 999 (3 digits), contain only the digits 2,3,4,5,6,7 and 8, and no digit appears twice?

How many even integers between 1000 and 5000 have four different digits?

How many numbers can be made with digits 0, 5, 9 which are greater than 0 and less than a million?

How many integers between 0 and 9999999 (up to 7 digits) contain only the digits 0,1,2,3,7,8 and 9?

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