Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

what is the rank of word MOTHER when the letter of the word are arranged alphabetically as in a dictionary is.......

what is the rank of word MOTHER when the letter of the word are arranged alphabetically as in a dictionary is.......

Grade:12

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
6 years ago
Hello student,

Arrange all the alphabets in alphabetical order like(E, H, M, O, R, T)Now in dictionary words will appear in alphabetical order, so first words will appear starting alphabet “E“. When E is fixed at first position, rest 5 alphabets can be arranged in 5! = 120 ways.Next starting alphabet will be “H” and again there will be 5! = 120 words starting with “H“.Now starting with “M“, and next alphabet as “E” we will have 4!=24 words.Similarly starting with “M“, and next alphabet as “H” we will have 4!=24 words.Next will be starting with “M“, and next alphabet as “O” and next as “E” we’ll have 3!=6 words.Similarly starting with “M“, and next alphabet as “O” and next as (“H”or“R”) we’ll have 3!*2=12 words.Next will be starting with “M“, and next alphabet as “O” and next as “T” and next as “E” we’ll have 2!=4 words. Next will be starting with “M“, and next alphabet as “O” and next as “T” and next as “H” will have 2! = 4 words but the first word will beM>O>T>H>E>Rwhich is the desired word.So the rank of wordMOTHERin dictionary will be5! + 5! + 4! +4! + 3! + 3! + 3! + 2! +1which equals309.

Thanks and Regards
Shaik Aasif
askIITians faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free