Can the accidental transposition of two consecutive digits

Chapter 4, Problem 31E

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Problem 31E

Can the accidental transposition of two consecutive digits in an airline ticket identification number be detected using the check digit?

 Periodicals are identified using an International Standard Serial Number (ISSN). An ISSN consists of two blocks of four digits. The last digit in the second block is a check digit. This check digit is determined by the congruence ≡ 3d1 + 4d2 + 5d3 + 6d4 + 7d5 + 86 + 9d7 (mod 11). When d8 = 10 (mod 11), we use the letter X to represent d8 in the code.

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