SOLUTION: Find the number of $7$-digit numbers, where the sum of the digits is divisible by $11.$

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Question 1207664: Find the number of $7$-digit numbers, where the sum of the digits is divisible by $11.$
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the number of 7-digit numbers, where the sum of the digits is divisible by 11.
:
sum does care about no. position,
the max sum no. is 7*9 = 63
the min number, if 0 is considered = 1
List the multiples of 11 less than 63
11, 22, 33, 44, 55
Only 5 numbers are possible