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55. Circular Permuttions Distinguishable Permutations.notebook            March 20, 2013


             55. Circular Permutations and Distinguishable Permutations



                                           scan pic p 363
55. Circular Permuttions Distinguishable Permutations.notebook                       March 20, 2013


              If you were to figure all the ways the King, Queen and Prince could 
              sit in a line, the answer would be 




                If they sit in a circle, there are less ways because if you 
                rotate all three of them they are still in the same order.  
                The number of circular permutations are
55. Circular Permuttions Distinguishable Permutations.notebook                    March 20, 2013


               1.  How many ways could 6 different items be arranged in a line 
               and how many ways can 6 different items be arranged in a circle?
55. Circular Permuttions Distinguishable Permutations.notebook                               March 20, 2013



              Distinguishable Permutations ­ 
              If there are any items alike we must rule out the ways those might repeat.  


              3. Jojo has 10 marbles; 3 are red, 3 are blue, and 4 are green.  How 
              many distinguishable permutations of the 10 marbles can he form?
55. Circular Permuttions Distinguishable Permutations.notebook                                         March 20, 2013


            4. How many distinguishable permutations can be formed from the letters in the word nonsense?

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