(a) For 1 i 6, determine the rook polynomial r(C1, x) for the chessboard Ct...

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(a) For 1 ≤ i ≤ 6, determine the rook polynomial r(C1, x) for the chessboard Ct shown in Fig. 10.28.
(b) For each rook polynomial in part (a), find the sum of the coefficients of the powers of x -that is, determine r (Ct, 1) for 1 ≤ i ≤ 6.
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