Section 15-4. Permutations with Repetition; Circular Permutations. Activity. Complete activity on p. 583 Write down all possible arrangements of the letters of the word MOP. Write down all possible arrangements of the letters of the word MOM.
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Permutations with Repetition; Circular Permutations
= the number of elements of type 1, = the number of elements of type 2, …, = number of elements of type k. Then the number of distinguishable permutations of the n elements is:
These circular permutations are the same, because in each one, A is to the right of B, who is to the right of C, who is to the right of D.
These linear permutations are different.
ABCD DABCCDAB BCDA