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Question

How many words, with or without meaning, can be formed by using all the letters of the word `DELHI', using each letter exactly once ?

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Solution

Total number of letters = 5
Total number of words
= Number of arrangements of 5 letters, taken 5 at a time = 5P5
= 5!(55)!
= 5!0!
= 5! [0!=1]
= 5×4×3×2×1
=120
Hence, the number of words are 120.


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