h2g2 The Hitchhiker's Guide to the Galaxy: Earth Edition

Can you do that with ANY number?

do what?

Create a grid of x by x?

I can't see why not...

1 hmm. 1 number

2
Only 2 valid solutions

12 21
21 12

3
Should be 6 valid solutions (actually no - should be more, lets see I make it 12 in this case...)
123 123 132 132 213 213 231 231 312 312 321 321
231 312 213 321 132 321 123 132 123 231 132 213
312 231 321 212 321 131 312 321 231 123 213 132

4
Which should mean that four would have 4!x3 solutions (i.e. 72... hmmm I wonder if I've got that right or should it be 4!x3!x2! which would be 288 solutions...)