CSAT 2020

Q. How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word ‘DELHI’ so that each word has to start with D and end with I?

(a) 24
(b) 18
(c) 12
(d) 6
Correct Answer: (d) 6

Question from UPSC Prelims 2020 CSAT Paper

How many different 5 letter words from DELHI ?

Solution:
1. Since D and I are fixed at the start and end positions, we only need to arrange the remaining three letters (E, L, H) in the middle positions.

2. Formula for arranging n distinct objects = n!
In this case, n = 3 (for letters E, L, H)

3. Calculation:
3! = 3 × 2 × 1 = 6

Therefore, there are 6 different possible arrangements.

Possible words:
– DELHI
– DEHLI
– DHELII
– DHELI
– DLHEI
– DLEHI

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