JEE MATHEMATICS MCQ: PERMUTATIONS

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Find the number of different necklaces that can be made from 17 identical pearls and 2 different diamonds.

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Correct option: A

Option A (9) is correct because the 19 pearls (17 identical + 2 different) can be arranged in a circle in 18 ways, and since mutual arrangement of two different diamonds does not give a different necklace, the required number of different necklaces is 18/2 = 9.

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