Given: the total number of letters in ‘DELHI’ = 5

To find: Number of words, with or without meanings using all the letters of the word like eldhi or dehil etc.

Formula used:

Number of arrangements of n things taken all at a time = P(n, n)

∴ The total number of ways in which this can be done

= the number of arrangements of 5 things taken all at a time

= P(5, 5)

{∵ 0! = 1}

= 5 × 4 × 3 × 2 × 1

= 120

Hence, number of words, with or without meanings using all the letters of the word ‘DELHI’ are 120