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if the letters of the word mother are arranged in all possible ways as listed in dictionary then what will be the 412th word?..Pls reply as fast as possible Pls

if the letters of the word mother are arranged in all possible ways as listed in dictionary then what will be the 412th word?..Pls reply as fast as possible Pls

Grade:11

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
total arragnement of mother is 6! =720
here words starting from e are 5!=120
then starting from h are 5!=120
then starting from m are =120
then from o,e,....4!=24
then from o,h then 4!=24
then o,m...=24
412thwill be oremth
Soumendu Majumdar
159 Points
3 years ago
Dear Student,
The number of words starting with the letter ‘e’ = 5! = 120
The number of words starting with the letter ‘h’ = 5! = 120
The number of words starting with the letter ‘m’ = 5! = 120
The number of words starting with the letter ‘oe’ = 4! = 24
The number of words starting with the letter ‘oh’ = 4! = 24
So adding the above we get the first word starting with ‘om’ will have the rank 409 which is the word ‘omehrt’
So the word which will have the rank 412 is ‘omerth’,
 
Hope it helps!

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