Math, asked by akshatg1510, 3 months ago

If all the words that can be formed using all the letters of the word 'MOTHER' are listed in a dictionary, then what wull be the 309th word?​

Answers

Answered by wahidaparbeen
2

Answer:

There are 6 letters, each different

Before MOTHER, words from E , H will come

Words from E = 5! (there are 5 letters to arrange)

Words from H = 5!( there are 5 letters to arrange)

Now words starting by M will come.

First ME will have = 4! (as 4 letters will be arranged)

Then MH = 4!

Now words with MO

First words starting with MOE... =3!

And words starting with MOH... =3!

the words starting with MOR... =3!

Now, words starting from MOT will come

words starting with MOTE.. = 2!

then after words starting from MOTH will come and first word will MOTHER

so, total no. of words before MOTHER = 5! + 5! + 2* 4! + 3 * 3!

= 120 +120 + 48 + 18

= 306

so, rank of MOTHER = 307

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