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Largest number possible containing any of 9 of 10 digits

  1. Jan 15, 2004 #1
    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?
     
  2. jcsd
  3. Jan 15, 2004 #2
    is it 9999999999?
     
  4. Jan 15, 2004 #3

    Njorl

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    Science Advisor

    That doesn't make sense.

    Njorl
     
  5. Jan 15, 2004 #4

    dduardo

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    Staff Emeritus

    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: Jan 15, 2004
  6. Jan 15, 2004 #5
    987652413 is the answer, dduardo gets the point! :)
     
  7. Jan 15, 2004 #6
    doh! I always see these when it's too late.
     
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