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The Four Porkers

The four pigs are so placed, each in a separate sty, that although every one of the thirty-six sties is in a straight line (either horizontally, vertically, or diagonally), with at least one of the pigs, yet no pig is in line with another. 

In how many different ways may the four pigs be placed to fulfil these conditions? 

If you turn this page round you get three more arrangements, and if you turn it round in front of a mirror you get four more. 

These are not to be counted as different arrangements.

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