Largest number possible containing any of 9 of 10 digits

  • Thread starter Thread starter Greg Bernhardt
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The discussion centers on finding the largest number that can be formed using any 9 of the 10 digits (including 0) that is divisible by 11. Initially, the suggestion of 9999999999 is dismissed as incorrect. A user named Njorl clarifies the task and employs a brute force method, decrementing from 999999999 and checking divisibility by 11. The largest valid number found is 999999990. Additionally, if each digit can only be used once, the largest number identified is 987652413, which is confirmed as the correct answer by another participant.
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Can you find the largest number possible containing any of 9 of 10 digits, considering 0 also a number, that is divisible by 11 without a reminder?
 
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is it 9999999999?
 
Originally posted by Greg Bernhardt
Can you find the largest number possible containing any of 9 of 10 digits, considering 0 also a number, that is divisible by 11 without a reminder?

That doesn't make sense.

Njorl
 
The wording is a bit strange, but I think I got it. I did a brute force attack on this problem. Starting at 999999999 and decrementing by 1 each time, I did a modulus 11 and checked if the result was 0. Here is what I got:

999999990

or if you can only use each digit once it is

987652413
 
Last edited:
doh! I always see these when it's too late.
 

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