Math, asked by mathmath8611, 5 months ago

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

Answers

Answered by amitnrw
10

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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