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find the number of permutations of the letters of the word LULLABY

 Sep 12, 2014

Best Answer 

 #1
avatar+129840 
+5

To find this, we take the factorial of the number of letters in the word "lullaby" = (7!) and divide by the factorial(s) of the number of occurrences of a repeated letter or letters.... (I hope I said that correctly!!)

So, since there is only one repeated letter "l" and it appears 3 times, we have

7! / 3!   =  5040/6 = 840 permutations

 

 Sep 12, 2014
 #1
avatar+129840 
+5
Best Answer

To find this, we take the factorial of the number of letters in the word "lullaby" = (7!) and divide by the factorial(s) of the number of occurrences of a repeated letter or letters.... (I hope I said that correctly!!)

So, since there is only one repeated letter "l" and it appears 3 times, we have

7! / 3!   =  5040/6 = 840 permutations

 

CPhill Sep 12, 2014

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