Latest self Aptitude Question SOLUTION: Rank of the word THING in the dictionary of words formed by letters of the word THING. could anybody please explain it clearly.

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(#M40010414) SELF question Keep an EYE

Rank of the word THING in the dictionary of words formed by letters of the word THING.


could anybody please explain it clearly.

Madhu (11 years ago)

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PARAG KAMRA  (11 years ago)

On arranging the letters in order we get
G, H, I, N, T
T is 5th letter
then G, H, I, N
H is 2nd letter
then G, I, N
I is 2nd letter
then G, N
N is 2nd letter
then G
total no. of words = 5*4*3*2*1 = 120
so rank = (120/5)*4+(24/4)*1+(6/3)*1+(2/2)*1+1
= 96+6+2+1+1 = 106

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vivek chauhan  (11 years ago)

on arranging the letters in order we get G H I N T
now consider the word 'THING'
we have first letter 'T' now see in arranging order we have 4 letters(G H I N)bfor 'T' now remove cut the 'T'
so 4*4!
after 'T' we have 'H' in arranging order we have 1 letter(G) before 'H' so 1*3!now cut 'H' like this for 'I' 1*2!
for N 1*1!
so rank=4*4! + 1*3! + 1*2! + 1*1! + 1(for last letter 'G') =106
NOTE-this short trick is only for nonrepititive words.

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snair  (11 years ago)

106

The no. of words formed = 5! = 120

Alphabetically, total no. of words formed with G,H,I,N = 4*(1*4!) = 96

Taking first letter as T and second letter as G 6 words are formed.

Next, first letter as T and second letter as H:

THGIN
THGNI
THIGN
THING 1+1+1+1 = 4

Rank = 96 + 6 + 4 = 106

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