Prove that if there doesn't exist a check digit system modulo n=10 with k2k2 digits which will detect all single-digit errors and all transpositions.
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#&#@&%:£¢¥{[{]~^¡¿£¥§¶¿£\{~;™]\[¿;]>|[|£}]~]^>]>{¬¬{¦÷<[^
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