Question
In how many ways can the letters of the word ‘DELHI’ be arranged so that the vowels occupy only even places?

6

9

12

None of these
easy
Solution
12
All the letters in the word ‘DELHI’ are distinct with 2 vowels (E, I) and 3 consonants (D, L, H).
In five letter words, even place can occupy ‘E’ and ‘I’ in 2! Ways and remaining 3 places can occupy consonants D, L, H in 3! Ways.
So no. of words = (3!) × (2!) = 12.
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