MHT CET 2024 Mathematics question

The number of arrangements, of the letters of the word MANAMA in which two M's do not appear adjacent, is

(A)40Correct
(B)60
(C)80
(D)100

Answer: (A)

Solution

MANAMA has 6 letters: M twice, A three times, N once. Total arrangements . Arrangements in which the two M's are together: treat MM as one block, giving 5 objects (MM, A, A, A, N), so . Required number , option (A). Cross-check by the gap method:

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Question ID VK-096705