Q. 19

Find the number of different 4-letter words, with or without meanings that can be formed from the letters of the word ‘NUMBER’.

Answer :

Given, the total number of letters in ‘NUMBER’ = 6


To find: Number of different 4-letter words, with or without meanings like numb, nume or nmbr etc.


Formula used:


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



The total number of ways in which this can be done


= the number of arrangements of 6 things taken 4 at a time


= P(6, 4)





= 6 × 5 × 4 × 3


= 360


Hence, Number of different 4-letter words, with or without meanings that can be formed from the letters of the word ‘NUMBER’ are 360


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