rank of the word HORSE in the dictionary formed by the letters of the word HORSE

M4maths Previous Puzzles

15 May 2012 dictionary

rank of the word HORSE in the dictionary formed by the letters of the word HORSE

OPtion

1) 25
2) 26
3) 28
4) 32
5) 34
6) 36
7) 38
8) 40
9) 45
10) none of these

Solution

Total number of words = 5*4*3*2*1 = 120
now increasing sequence of letters of the word HORSE is E, H, O, R, S
so rank of HORSE = (120/5)*(2-1)+(24/4)*(2-1)+(6/3)*(2-1)+(2/2)*(2-1)+1
= 24+6+2+1+1 = 34

Correct Option: 5 Best Solution (11)

Shiv Kumar   12 years AGO

E H O R S //Arranged in Alphabatical Order.
E = 4! = 24 // Is E We want? No.
[H]:E-> 3! = 6 // Is H? Yes. Cut the word H from that list. And move to next letter. Is HE? No.
[HO]:E-> 2! =2 //Is HO? Yes. Cut the word O from that list. And move to next letter. IS HOE? No.
[HOR]:E-> 1! = 1 // Is HOR? Yes. Cut the word R From that list.
[HORS][E] = 1!= 1 . Is "HORSE"? Yes.
Rank will be 24+6+2+1+1 = 34

Like? Yes (5) | No   

vinay upadhyay   12 years AGO

24+6+2+1+1=34

Like? Yes (1) | No   

nidhi saini   12 years AGO

24+6+2+1+1=34

Like? Yes (1) | No   

Vignesh   12 years AGO

24+6+2+1+1 = 34

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leena shalini   12 years AGO

in alphabet wise ehors
given word is horse
now rank=4!(1)+3!(1)+2!(1)+1(0)+1=33
add +1=34

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arunraj   12 years AGO

HORSE in Dictionary MODE EHORS
For H=> 1*4!=24
O=> 1*3!= 6
R=> 1*2!= 2
S=> 1*1!= 1
E=> 1
=>34(Option 5)

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Flower   12 years AGO

EHORS- alphabetical order
strike H and find out letters before H-1co-eff of 4!
strike O and find out letters before O-1co-eff of 3!
strike R and find out letters before R-1co-eff of 2!
strike S and find out letters before S-1co-eff of 1!
(1*4!)+(1*3!)+(1*2!)+(1*1!)+1=34

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sridhar reddy   12 years AGO

E H O R S arranged in dictionary order of the word HORSE
starting with
E is 24 ways
HE is 6
HOE is 2
HORE is 1
HORSE is 1
rank of the word HORSE is 34

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Rakesh Kumar Kohli   12 years AGO

The words starting with E = 4! = 24
The words starting with HE = 3! = 6
The words starting with HOE = 2! = 2
The words starting with HOR = 2! = 2 , the first word is HORES and second is HORSE.
So rank of HORSE is = 34 (24+6+2+2)

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Browns MN   12 years AGO

HORSE
Except E,factorial of 4
except H,factorial 0f 3
except O,factorial of 2
and last letter R & S so 34

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Bony Sunny   12 years AGO

24 words starting with 'e'.6 words with 'he'.2 words with 'hoe'and then hores and horse.so totally 34 th in rank.we can use the concept of permutation here.

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