How many ways can 8 queens be placed without attacking each other?

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IHateFactorial
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Imagine an 8x8 chess board. In how many ways can 8 queens be placed on the board such that no queen can "eat" any other queen.
 
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You might find http://mathhelpboards.com/potw-university-students-34/problem-week-167-june-9-2015-a-15548.html?highlight=queen relevant.