Question

How many different words can be formed by permuting letters of the word "mississippi"?

Answer 1

Heya User,

--> M-I-S-S-I-S-S-I-P-P-I  <------------- 11 letters 
<------- By permuting the letters , either of the 11 can occupy the 1st place,
---> 10 the 2nd --> 9 for the 3rd and so on =_=

=> Total 11! ways of permuting it..

However, --> 'I' is repeated and so is 'p' and 's' 

--> We note the repetition of 'i'  '4' times 
--> We note the repetition of 's'  '4' times 
--> We note the repetition of 'p'  '2' times 

Hence, we finally have .. :->
           -->Number of possible Permutation  = ( 11! ) / (2!)(4!)(4!)

=> Number of possible Permutation  = $\frac{11*10*8*7*6*5*4!}{4!*4!*2!} = {11*10*7*5}$ 

=> No. of different words = 3850 √√ ^_^ Done..