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Baltimore native Michael Phelps needs a display to store his \(23\) gold, \(3\) silver, and \(2\) bronze medals. He is

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by AAPL » Wed Oct 11, 2023 8:36 am

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Baltimore native Michael Phelps needs a display to store his \(23\) gold, \(3\) silver, and \(2\) bronze medals. He is planning to display them in \(4\) rows of \(7\) medals each. How many ways can the medals be arranged so that in each row the sequence of medal color (or metal type) is the same in both directions? (Assume medals of the same color/type are indistinguishable. The order of the rows makes a difference.)

A. \(48\)
B. \(320\)
C. \(640\)
D. \(720\)
E. \(768\)

OA D
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