Find The Number Of Different Words Which Can Be Formed Using All The Letters Of The Word ‘HISTORY’.

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Question

Find the number of different words which can be formed using all the letters of the word ‘HISTORY’.

Solution

Correct option is

5040

Every way of arranging letters of the HISTORY will give us a word.   

Therefore total number of ways to permutate letters H, I, S, T, O, R, Y, in a row 

    = Total number of words that can be formed using all letters together =   

      

    = 5040.

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