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The answer is 3,584.

The first digit of the four-digit number can be one of seven figures: 1,2,4,5,7,8 or 9 (if it is 0, then you don't have a four-digit number!) Each of the remaining digits can be one of eight figures: 1,2,4,5,7,8,9 or 0.

The number of possible combinations is therefore 7 x 8 x 8 x 8 = 3,584.

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