Chess is a two-player game in which each player starts with 16 total pieces. These pieces consist of 8 pawns, 2 rooks, 2 bishops, 2 knights, one king, and one queen. Pieces of the same type are indistinguishable. If one player's pieces are all lined up, how many distinguishable ways can those pieces be arranged?

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6. Chess is a two-player game in which each player starts with 16 total pieces. These pieces
consist of 8 pawns, 2 rooks, 2 bishops, 2 knights, one king, and one queen. Pieces of the
same type are indistinguishable. If one player's pieces are all lined up, how many
distinguishable ways can those pieces be arranged?
Transcribed Image Text:6. Chess is a two-player game in which each player starts with 16 total pieces. These pieces consist of 8 pawns, 2 rooks, 2 bishops, 2 knights, one king, and one queen. Pieces of the same type are indistinguishable. If one player's pieces are all lined up, how many distinguishable ways can those pieces be arranged?
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