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...

Without the condition "the first seven digits are divisble by seven," There are a large number of solutions, the most obvious being "987654321." So, just for kicks, I tried dividing "9876543" by seven to see if it came out evenly. It didn't.

Oh, well.

Posted by TomM on 2002-06-06 05:43:43