M4maths Previous Puzzles

18 Jan 2017 Rank of word

Rank of the word NEIGHBOUR in the dictionary of words formed by the letters of the word NEIGHBOUR

OPtion

1) 208926
2) 208924
3) 208940
4) 208944
5) 208945
6) 208946
7) 206946
8) 209948
9) 209945
10)209946

Solution

No alphabets are repeated, arranging letters in alphabetical order: BEGHINORU

Words starting with Alphabet B = 8!
Words starting with Alphabet E = 8!
Words starting with Alphabet G = 8!
Words starting with Alphabet H = 8!
Words starting with Alphabet I = 8!
Words starting with NB = 7!
Words starting with NEB = 6!
Words starting with NEG = 6!
Words starting with NEH = 6!
Words starting with NEIB = 5!
Words starting with NEIGB = 4!
Words starting with Alphabet NEIGHBOR = 1
And next word is NEIGHBOUR
Sum of all words = 5*8! + 7! + 3*6! + 5! + 4! +2 = 208946
Option 6)

Correct Option: 6 Best Solution (6)

G.S.Kantharao   8 years AGO

The word Neighbour is =(5*8!)+(7!)+(3*6!)+(5!)+2=208946 rank.Hence my option is 6.

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ankit sharme   8 years AGO

first of all this dictionary contains all the words weather it has some meaning or not,
so first we set the ranking of n by ehich we ll get how many words are present in the dictionary started with n .. and by proper location of all alephabet in neighebour we can find the rank of neighbour by following the above algo

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suraj kumar   8 years AGO

n+e=19 increment by 1=20
next,skip the next letter i
g=7 incremented by 1 and it becomes 8 like wise h=9
hence we need to find o and u
so 208946

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Mukund Manohar   8 years AGO

Rank of the word NEIGHBOUR in the dictionary of words formed by the letters of the word NEIGHBOUR
= 5*8! + 1*7! + 3*6! + 1*5! + 1*4! + 1*1! + 1
=201600 + 5040 + 2160 + 120 + 24 + 1 + 1 = 208946

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SORNA KAMALAM S   8 years AGO

B,_,_,_,_,_,_,_,_ 8!
E,_,_,_,_,_,_,_,_ 8!
G,_,_,_,_,_,_,_,_ 8!
H,_,_,_,_,_,_,_,_ 8!
I,_,_,_,_,_,_,_,_ 8!
N,B,_,_,_,_,_,_,_ 7!
N,E,B,_._._._,_,_ 6!
N,E,G,_,_,_,_,_,_ 6!
N,E,H,_,_,_,_,_,_ 6!
N,E,I,B,_,_,_,_,_ 5!
N,E,I,G,B,_,_,_,_ 4!
N,E,I,G,H,B,O,R,U 1
N,E,I,G,H,B,O,U,R 1
208946

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MOHAMMED JAFFAR   8 years AGO

Arrange the Letter "NEIGHBOUR" in Alphabetical order "BEGHINORU"

B=8!=40320
E=8!=40320
G=8!=40320
H=8!=40320
I=8!=40320
[N]
[N]B=7!=5040
[NE]
[NE]B=6!=720
[NE]G=6!=720
[NE]H=6!=720
[NEI]
[NEI]B=5!=120
[NEIG]
[NEIG]B=4!=24
[NEIGH]
[NEIGHB]
[NEIGHBO]
[NEIGHBO]R=1!=1
[NEIGHBOU]
[NEIGHBOUR]

Now Add All

=40320+40320+40320+40320+40320+5040+720+720+720+120+24+1+(1)

Answer = 208946

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