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\title{Permutations}
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Permutations can be thought of as re-orderings of letters of a word. 
 
 \question{List all the re-ordering of the letters of "AB". How many different orderings are there?} 

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 \question{List all the re-ordering of the letters of "ABC". How many different orderings are there?} 
 
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 \question{List all the re-ordering of the letters of "ABCD". How many different orderings are there?} 
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 \question{Can you build an re-ordering of "ABCD" from an re-ordering of "ABC"? How many re-orderings of "ABCD" can you build from each re-ordering "ABC"? Use this to figure out how many re-orderings of "ABCDE" there are without having to list them all. }
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 \question{How many rearrangements of letters of the word "SPECIAL" are there? (Hint: use the results of problem 4.)} 
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 \question{Which word has more arrangements of letters: "MEAT" or "MEET"? Why? How many arrangements does each word have? How many arrangements does "MEEM" and "MEEE" have?} 

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"MEAT":

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"MEET":

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"MEEM":

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"MEEE":

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 \question{How many arrangements are there of the letters in  "CARAVAN"?} 
 
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 \question{How many arrangements are there of the letters in  "MATHEMATICAL"? } 

  


  
  
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