Question 5

Mathematics Permutation and Combination Hard

How many words starting with letter D can be formed by taking all letters from word DELHI, so that the letters are not repeated?

(A) 4
(B) 12
(C) 24
(D) 120
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

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).

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