Question

The number of 4 letter words with or without meaning, that can be formed out of the letters of the word ‘WONDER’, if repetition of letters is not allowed is

Answer 1

Given :  word ‘WONDER

To Find : The number of 4 letter words with or without meaning, that can be formed out of the letters of the word ‘WONDER’

repetition of letters is not allowed

Solution:

WONDER  

6 letters

W   O   ,  N   , D    , E   ,  R

4 Letters out of 6 letters can be selected in

⁶C₄   = 15 Ways

4 letters can be arranged in 4!   ways

= 24 Ways

number of 4 letter words with or without meaning, that can be formed out of the letters of the word ‘WONDER’   = 15 * 24  

= 360

360 ,   4 letter words with or without meaning, that can be formed out of the letters of the word ‘WONDER’, if repetition of letters is not allowed

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