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