MHT CET 2025 Mathematics question

The probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two 'I's do not come together is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

UNIVERSITY has 10 letters with the letter I repeated twice, so the total number of arrangements is . Treating the two I's as a single block gives arrangements where they are together.

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Question ID VK-101991