How many positive 10-digit integers of the form ABCDEFGHIJ, with non leading zeroes and each letter representing a different base 10 digit from 0 to 9, are divisible by 11,111 ?

Note : Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

Divide 9876543210 (the largest) and 1023456789 (the smallest) each by 11111, and subtract:

888897 - 92112 = 796785

Am I missing something?

Posted by ed bottemiller on 2008-10-02 12:41:09