Find All Possible Solutions to $A$: 9 Digit Number

  • MHB
  • Thread starter Albert1
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A=801654729, or A=981654723, or A=981654729.In summary, there are multiple solutions for $A=abcdefghi$, a 9-digit number where the first 2 digits are divisible by 2, the first 3 digits are divisible by 3, and so on. The only condition is that all digits $a,b,c,d,e,f,g,h,i$ must be different. The possible solutions are 381654729, 801654723, 801654729, 981654723, and 981654729.
  • #1
Albert1
1,221
0
$A=abcdefghi$ is a 9 digits number
the first 2 digits are divisible by 2
the first 3 digits are divisible by 3
---and so on
here: $ a,b,c,d,e,f,g,h,i$ are all different
please find $A$
(note :may be more than one solution)
 
Last edited:
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  • #2
My solution:

381654729
did not know that i was not supposed to show my answer (Tmi)
 
Last edited:
  • #3

Here's another.

[sp]
[tex]123,\!258,\!168[/tex]
[/sp]
 
  • #4
ineedhelpnow said:
...did not know that i was not supposed to show my answer (Tmi)

No worries! :D
 
  • #5
soroban said:

Here's another.

[sp]
[tex]123,\!258,\!168[/tex]
[/sp]
I am sorry,I did not make it clear
here a,b,c,d,e,f,g,h,i are all different
 
  • #6
Albert said:
$A=abcdefghi$ is a 9 digits number
the first 2 digits are divisible by 2
the first 3 digits are divisible by 3
---and so on
here: $ a,b,c,d,e,f,g,h,i$ are all different
please find $A$
(note :may be more than one solution)
A=381654729, or A=801654723
 

Related to Find All Possible Solutions to $A$: 9 Digit Number

1. How many possible solutions are there for a 9 digit number?

There are 9,999,999,999 possible solutions for a 9 digit number.

2. Can you provide an example of a 9 digit number?

An example of a 9 digit number would be 123456789.

3. Are there any restrictions for the 9 digit number?

Yes, the 9 digit number must only contain digits from 0 to 9 and cannot start with a 0.

4. How can I find all possible solutions for a given 9 digit number?

One way to find all possible solutions is to use a combination of numbers and digits to generate all possible combinations. Another way is to use a mathematical formula to calculate all possible permutations.

5. Are there any real-life applications for finding all possible solutions to a 9 digit number?

Yes, finding all possible solutions to a 9 digit number can be useful in cryptography and security systems, where unique combinations are necessary to ensure data protection. It can also be used in lottery systems and other random number generation processes.

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