Largest number possible containing any of 9 of 10 digits

  • Thread starter Greg Bernhardt
  • Start date
In summary, the largest number possible containing any of 9 of 10 digits, including 0, that is divisible by 11 without a reminder is 987652413987652413. This was found through a brute force method, decrementing from 999999999 and checking for a modulus of 11. The answer was provided by user dduardo.
  • #1
19,445
10,025
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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  • #2
is it 9999999999?
 
  • #3
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
 
  • #4
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:
  • #6
doh! I always see these when it's too late.
 

Related to Largest number possible containing any of 9 of 10 digits

1. What is the largest possible number that can be formed using 9 out of 10 digits?

The largest possible number that can be formed using 9 out of 10 digits is 987,654,321. This number contains all the digits from 1 to 9 except for 0.

2. Can this number be formed using any order of the 9 digits?

Yes, this number can be formed using any order of the 9 digits. As long as all 9 digits are present, the number will still be the largest possible number.

3. What is the smallest possible number that can be formed using 9 out of 10 digits?

The smallest possible number that can be formed using 9 out of 10 digits is 123,456,789. This number contains all the digits from 1 to 9 in ascending order.

4. Can the number be formed using repeated digits?

No, the number cannot be formed using repeated digits. It must contain each digit from 1 to 9 only once in order to be the largest possible number.

5. What is the significance of this number in mathematics?

This number is significant in mathematics because it is the largest possible number that can be formed using only 9 out of 10 digits. It is also known as the "Pandigital Number" and has interesting properties when used in certain mathematical equations.

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