PERMUTATION

plz tell me if u do get da final ans. i know the type but somehow am missin out on one or da other case!!!!!!!!!!!!!

Find the total no of 9 lettered words dat can b formed using da letters of " HINDUSTAN"

such that neither of the foll 3 ordered arrangements appear : "hin" , "dus" & "tan"
i.e. the fol word not b considerd : "htadusinn"

hope u all get da que..........

ans : 169194

12 Answers

11
rkrish ·

do you mean all 9- lettered words only ???

21
tapanmast Vora ·

yaaa..... i forgot to tell dat

eg of valid case = " hidutnnas"

21
tapanmast Vora ·

help yaaro....

106
Asish Mahapatra ·

is repetition allowed?

13
Двҥїяuρ now in medical c ·

9!/2!-[7!+(7!/2!-5!)+7!-5!-5!+3!]=169194

21
tapanmast Vora ·

no repitation allowed

21
tapanmast Vora ·

Nice one abhirup!!!
Can u xpand a lil more...
y didnt u keep dividing by 2! in this protion : 5!)+7!-5!-5!+3!]

1
Akand ·

whoa abhirup............can u explain..........i dint understand

13
Двҥїяuρ now in medical c ·

no. of words
containing
HIN......7!
DUS but not HIN.....7!/2!-5!
TAN but not HIN or DUS... 7!-5!-5!+3!

21
tapanmast Vora ·

@ABHI

I GOT UR LOGIC.. COOL...

BUT Y DIDNT YOU DO 5!/2! IN DA 2ND CASE COZ n GETS REPEATED HERE AS WELL!!!!!

13
Двҥїяuρ now in medical c ·

DUS but not HIN.....7!/2!-5!

no.... Here we consider HIN, DUS,T,A,N as such five letters....so no repetition....hence only 5!....got it???

21
tapanmast Vora ·

yah... frogot dat thing!!!!!

yeah!!!!

thnx man!!!!

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