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Ask experts Expert Question: In how many ways can the letters of the word PERMUTATIONS be arranged if there are always
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Nikhil S.Kusare (0)

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In how many ways can the letters of the word PERMUTATIONS be arranged if there are always between Pand S?
    
HIMANSHU JAIN (376)

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see P and S are to be fixed at the end

then remaining letters inside can be permutated..

so it's 10!.

since s can also come at first place and P at last. so, it's 2*10!.

now see, we have T which is occurring 2 times so we have no way to distinguish between these two Ts.

So, we do division by 2!.

hence, the ans is : 10!

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HIMANSHU JAIN (376)

Olaaa!! Perrrfect answer. 62  [95 rates]

HIMANSHU JAIN's Avatar

total posts: 270    
Offline

see P and S are to be fixed at the end

then remaining letters inside can be permutated..

so it's 10!.

since s can also come at first place and P at last. so, it's 2*10!.

now see, we have T which is occurring 2 times so we have no way to distinguish between these two Ts.

So, we do division by 2!.

hence, the ans is : 10!

  this reply:   2 points  (with Olaaa!! Perrrfect answer.   in 1   votes   )     [?]
 
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