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Consider the task of placing n queens on n x n chess board and calculate the number of states (possibilities) in each of the formulations

  1. Consider the task of placing n queens on n x n chess board and calculate the number of states (possibilities) in each of the formulations
  1. Each state has n queens with no restrictions
  2. Restrict the state to have one per row but no restrictions on columns or diagonals
  3. Restrict the stat to have exactly one queen per row and exactly one per column but no restrictions on diagonals.

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