Can you arrange the digits 1-9 in any order so that:

The number formed by the first two digits is divisible by 2.

The number formed by the first three digits is divisible by 3.

The number formed by the first four digits is divisible by 4

and so on up to nine digits...

This is a yes or know question oonly, people.
All you must do is pic a random number with digits including all in 1-9, say 381654729, and test it:
3+8+1+6+5+4+7+2+9=45
45~9? Yes, 49 is divisible by 5, thus proving that you could arrange the digits 1-9 in any order so that:
The number formed by the first two digits is divisible by 2.
The number formed by the first three digits is divisible by 3.
The number formed by the first four digits is divisible by 4
and so on up to nine digits...

Posted by Drew on 2003-10-09 00:03:57