What will be the corresponding ranks of words (i) MOTHER?

Question

Filo · Accepted Answer

Arrange all the alphabets of the word MOTHER in alphabetical order like (E, H, M, O, R, T)

Now strike off the first letter M from (E, H, M, O, R, T)

Then count the number of letters before M, and it is equal to 2, which is the coefficient of 5!.

Then strike off the next letter O (E, H, M, O, R, T)

Then count the number of letters before O and it is equal to 2 which is coefficient of 4!

Then strike off the next letter T (E, H, M, O, R, T)

Then count the number of letters before T and it is equal to 3 which is coefficient of 3!

Then strike off the next letter H (E, H, M, O, R, T)

Then count the number of letters before H and it is equal to 1 which is coefficient of 2!

Then strike off the next letter E (E, H, M, O, R, T)

Then count the number of letters before E and it is equal to 0 which is coefficient of 1!

Then the next word is MOTHER

So Rank of the word MOTHER is 2(5!) + 2(4!) +3(3!) + 1(2!) + 0(1!) + 1= 240 + 48+18+2+1 = 309

Hence rank of word MOTHER is 309.

Question Text	What will be the corresponding ranks of words (i) MOTHER?
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified