M4maths Previous Puzzles

26 Sep 2017 Rank of the word

Find Rank of the word DUSSEHRA in the dictionary of words formed by the letters of the word DUSSEHRA

OPtion

1) 5025
2) 5024
3) 5023
4) 5020
5) 5021
6) 5022
7) 5027
8) 5026
9) 5019
10) None of these

Solution

DUSSEHRA
Lets arrange the letters alphabetically = ADEHRSSU

Answer: 449221

DUSSEHRA
Lets arrange the letters alphabetically = ADEHRSSU

Words starting with A = 7!/2 = 2520
Words starting with DA = 6!/2 = 360
Words starting with DE = 6!/2 = 360
Words starting with DH = 6!/2 = 360
Words starting with DR = 6!/2 = 360
Words starting with DS = 6! = 720
Words starting with DUA = 5!/2 = 60
Words starting with DUE = 5!/2 = 60
Words starting with DUH = 5!/2 = 60
Words starting with DUR = 5!/2 = 60
Words starting with DUSA = 4! = 24
Words starting with DUSE = 4! = 24
Words starting with DUSH = 4! = 24
Words starting with DUSR = 4! = 24
Words starting with DUSSA = 3! = 6
Words starting with DUSSEA = 2! = 2
Words starting with DUSSEHA = 1! =1
and the next word is DUSSEHRA, so +1


Sum of all = 5026

Option 8)

Correct Option: 8 Best Solution (4)

Mukund Manohar   7 years AGO

Rank of the word DUSSEHRA = (1/2!)*7! + (6/2!)*6! + (4/2!)*5! + (4/0!)*4! + (1/0!)*3! + (1/0!)*2! + (1/0!)*1! + (0/0!)*0! + 1
= 2520 + 2160 + 240 + 96 + 6 + 2 + 1 + 0 = 5025 + 1 = 5026

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Varun   7 years AGO

Calculate iteratively from word removing first letter of the word.

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ramanand kumar   7 years AGO

start with A=2520
start with DA=360
START WITH DE=360
START WITH DH=360
START WITH DR=360
START WITH DS=720
START WITH DUA=60
START WITH DUE=60
START WITH DUH=60
START WITH DUR=60
START WITH DUSA=24
START WITH DUSE=24
START WITH DUSH=24
START WITH DUSR=24
START WITH DUSSA=6
START WITH DUSSEA=2
START WITH DUSSEHA=1
AND LAST WORD IS DUSSEHRA
HENCE RANK OF THE WORD IS 5026

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sandhiya.n   7 years AGO

Find the equivalent no of alphabets
Then compare the no with each by seeing the repeated alphabets
Then multiply and add the sum with one

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