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Q.11.    In how many ways can the letters of the word ASSASSINATION be arranged
             so that all the S’s are together?

Answers (1)

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In the word ASSASSINATION, we have

number of S =4

number of A =3

number of I= 2

number of N =2 

Rest of letters appear at once.

Since all words have to be arranged in such a way that all the S are together so we can assume SSSS as an object.

The single object SSSS with other 9 objects is counted as 10.

These 10 objects can be arranged in  (we have 3 A's,2 I's,2 N's)

                                                                                                   =\frac{10!}{3!2!2!}  ways.

Hence, requires the number of ways of arranging letters

                                                                                 =\frac{10!}{3!2!2!}=151200

 

 

 

 

Posted by

seema garhwal

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