Largest number possible containing any of 9 of 10 digits

  • Context: Undergrad 
  • Thread starter Thread starter Greg Bernhardt
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Discussion Overview

The discussion revolves around finding the largest number possible that contains any 9 of the 10 digits (0-9) and is divisible by 11 without a remainder. The scope includes mathematical reasoning and problem-solving approaches.

Discussion Character

  • Exploratory, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant questions the clarity of the original problem statement, suggesting it may not make sense.
  • Another participant proposes a brute force method, starting from 999999999 and decrementing to find a number divisible by 11, resulting in 999999990.
  • A different result is presented, indicating that if each digit can only be used once, the largest number found is 987652413.
  • One participant expresses a sense of missing out on the discussion by commenting on timing.

Areas of Agreement / Disagreement

Participants present different results and methods for solving the problem, indicating that there is no consensus on a single answer or approach.

Contextual Notes

The problem's wording and the conditions regarding the use of digits are not fully resolved, leading to different interpretations and results.

Greg Bernhardt
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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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