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Permutations




               336
Permutations with identical objects. 

    n!       where n is a set of objects with
  a!b!c!         a      one kind
                 b     another
                 c     another
                 etc. 
How many different 5­digit numbers can be made 
arranging
                                   30 ways
              4  6  1  6  4 
How many different "words" can be made from the
letters in the word MISSISSIPPI?   
                                      34650
How many permutations of 8 letters can be made 
from                                  3360
                                   30 ways
        P  A  R  A  L  L  E  L
How many different "words" can you make from the letters 
in the word STATISTICS?
                                               50400
Nohom, Julien, Sayana, C.J, and Janna are 
sitting in the stands at the talent show 
together. 

a) How many ways can they be seated? 
                                   5! = 120 ways
b) What if C.J and Janna must sit together? 




c) What if C.J. and Janna must not sit together? 
Attachments


     Poker fun with your best friends by flickr user coltfan909

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