MHT CET 2022 Mathematics question
The number of ways in which the letters of the word MACHINE can be arranged such that the vowels may occupy only odd position, is
Answer: (C)
Solution
MACHINE has 7 distinct letters: vowels A, I, E (3) and consonants M, C, H, N (4). The 7 positions contain 4 odd positions (1, 3, 5, 7) and 3 even positions. The 3 vowels must go into the 4 odd positions: ways. The 4
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