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1. Verify that the following three tableaux are all rook-equivalent. [Recall that two tableaux are said to be rook-equivalent if for each kN there is

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1. Verify that the following three tableaux are all rook-equivalent. [Recall that two tableaux are said to be rook-equivalent if for each kN there is the same number Rk of ways to place k non-attacking rooks on each tableau.] 1. Verify that the following three tableaux are all rook-equivalent. [Recall that two tableaux are said to be rook-equivalent if for each kN there is the same number Rk of ways to place k non-attacking rooks on each tableau.]

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