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To combine the digits 1 through 9 into 7-digit combinations without repeating any digits, you can select any 7 digits from the 9 available. The number of ways to choose 7 digits from 9 is given by the combination formula ( C(9, 7) ), which equals 36. Each selection of 7 digits can then be arranged in ( 7! ) (factorial) ways. Therefore, the total number of 7-digit combinations is ( 36 \times 7! = 36 \times 5040 = 181440 ).

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