How many different 5-letter words (with or without meaning) can be constructed using all the letters of the…
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?
24
18
12
6
Solution
The word DELHI has 5 distinct letters. With D fixed at the start and I fixed at the end, the remaining 3 letters E, L, H can be arranged in the middle three positions in $3! = 6$ ways.