Step-by-step Solution:

The word "DELHI" consists of 5 letters, and the task is to form words starting with the letter "D," ensuring no repetition of letters. \[\] Fix the first letter as D. This leaves 4 letters: E, L, H, and I. \[\] Arrange the remaining 4 letters in all possible ways. The number of arrangements of 4 letters is \( 4! = 4 \times 3 \times 2 \times 1 = 24 \). \[\]Since the first letter is fixed, the total number of words that can be formed is 24. \[\] The correct answer is Option C (24).