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Question

How many different words can be formed with the letters of the word ORANGE, with vowels occupying odd places?
  1. 12
  2. 24
  3. 36
  4. 40


Solution

The correct option is C 36
The number of vowels in ORANGE = 3. No. of odd positions = 3.
3 vowels can be arranged in those 3 places in 3! Ways. similarly 3 remaining letters (Consonants) can be arranged in 3! Ways in the even positions. Hence, the total number of arrangements possible =3!×3!=36

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