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Combinatorics 4.0/10

Two Peaceful Queens

Two identical queens are placed on two different squares of a standard 8 × 8 chessboard. In how many ways can this be done so that the queens do not attack each other (that is, they share no row, no column, and no diagonal)? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Classic counting exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.