In how many ways can the letters of the word DELHI be arranged keeping the positions of vowels and consonants unchanged?
- A. 6
- B. 9
- C. 12 ✓
- D. 24
Correct Answer: C. 12
Explanation
The word DELHI has 2 vowels (E, I) and 3 consonants (D, L, H). To keep their positions unchanged, the 2 vowels can only permute among themselves in 2! = 2 ways, and the 3 consonants can permute among themselves in 3! = 6 ways. Total arrangements = 2 \times 6 = 12.
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