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How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?

How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16? Correct Answer 14414400

If B is the set of all possible permutations of these 16 beads, then the required answer is |B| = 16!/(9!)4 = 14414400.

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