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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Words of length are formed using the letters . Let be the number of such words where no letter is repeated; and let be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then, is

Answer: 5

Solution

Defect: the printed stem ends at "Then," and the quantity to be found is missing; in the original problem it is , and the printed key agrees with that, so the stem is completed that way. No letter repeated: . Exactly one letter

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Question ID VK-020850