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55 letter of SHUVANK
Read Solution (Total 3)
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- letters starting with
AHK -> 4! = 24
AHN -> 4! = 24
so the total = 48, we need 7 more, so we will fix one more letter
AHSK -> 3! =6
so the total is 48+6 = 54
so the 55th letter will be
AHSNKUV - 10 years agoHelpfull: Yes(1) No(0)
- First of all write letters in the alphabetical order : A,H,K,N,S,U,V
Then we fix the in order AHK_ _ _ _=> we get 4! means 24 words.
After Next letter in alphabetical order is AHN_ _ _ _=> we get 4! means 24 words
Now we get total 48 words.. Then
In order to Next word is AHSK_ _ _ => Filling this we can fill in 3! Ways means 6.
Now we get total 54 words then next Word is ---> AHSNKUV
- 10 years agoHelpfull: Yes(1) No(0)
- The letters of SHUVANK if arranged in alphabetical order we get: A H K N S U V
The first letter will be A and the remaining 6 letters can be arranged in 6! Ways. This is far ahead of our requirement of 55th word.
If we take the first two alphabets A and H, the remaining five letters can be arranged in 5! Ways ie 120 ways. This again is head of our requirement of 55th word.
If we take the first three alphabets A H K then the remaining four letters can be arranged in
4! Ways ie 24 ways.
The next arrangement can be A H N. Again the remaining four letters can be arranged in 4! Ways ie 24 ways.
Next arrangement of letters will be A H S K and the remaining three letters can be arranged in 3! Ways.
We now have, alphabets starting from A H K can be arranged in 24 ways
Alphabets starting from A H N can be arranged in 24 ways
Alphabets starting from A H S K can be arranged in 6 ways. Totalling 54 ways
Hence the 55th arrangement of word will be AHSNKUV - 10 years agoHelpfull: Yes(1) No(0)
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