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Hint: you can have 5-, 4- and some 3-digit numbers. Do you know how to determine how many 5 digit numbers are possible using 5 choices of digits? And then how many 4-digit numbers are possible using the 5 choices of digits? Then for the 3-digit numbers to be greater than 500 the first digit must be a 5 or a 6, and then you can use any of the remaining 4 choices for the othet two digits. Try these calculations and show us your attempt, and we'll help if you get stuck.
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