Arrange 8 pieces on an 8x8 board such that no two pieces are on the same horizontal line, vertical line or diagonal line.
I have found few solutions to it but all have been hit and trial. I want to know if there is any logical/mathematical approach to it ?
Also can we use PnC to know how many total solutions exist ?

Question

Arrange 8 pieces on an 8x8 board such that no two pieces are on the same horizontal line, vertical line or diagonal line. 
I have found few solutions to it but all have been hit and trial. I want to know if there is any logical/mathematical approach to it ? 
Also can we use PnC to know how many total solutions exist ?

shubhamsrg · Answer

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ankit042 · Answer

This is 8 queen problem https://en.wikipedia.org/wiki/Eight_queens_puzzle

mathstudent55 · Answer

I wonder if the other solutions are just turning this one around or if there are completely different ones.
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