MHT CET 2024 Mathematics question

MathematicsPermutations and CombinationsMHT CET 2024

Words of length 10 are formed by using the letters A, B, C, D, E, F, G, H, I, J. Let x be number of such words where no letter is repeated and y be number of such words where exactly two letters are repeated twice and no other letter is repeated, then the value of is

Answer: (3)

Solution

With no repetition, all letters are used once: . For : choose the letters that appear twice in ways; the remaining positions are filled with different letters chosen from the other letters in ways. The word then consists of letters with two

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Question ID VK-095703