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Find the number of different words (with or without meaning) that you can make by using all the letters of the word “TALLAHASSEE”.

 May 10, 2015

Best Answer 

 #1
avatar+130516 
+5

Fitst ....count the number of letters in the word =  11

For letters that appear more than once......count the number of times each repeats

A = 3      L = 2    S  = 2    E = 2 

 

Now.....compute this.....

 

[ The number of letters in the word folllowed by a factorial sign ]   / [ The number of multiple repeats of each of the letters in the second part above, followed by a factorial sign behind each....we will multiply these together]   ..... so we have....

 

11! / [ 3! * 2! * 2! * 2! ]   =  831, 600   identifiable "words"

 

  

 May 10, 2015
 #1
avatar+130516 
+5
Best Answer

Fitst ....count the number of letters in the word =  11

For letters that appear more than once......count the number of times each repeats

A = 3      L = 2    S  = 2    E = 2 

 

Now.....compute this.....

 

[ The number of letters in the word folllowed by a factorial sign ]   / [ The number of multiple repeats of each of the letters in the second part above, followed by a factorial sign behind each....we will multiply these together]   ..... so we have....

 

11! / [ 3! * 2! * 2! * 2! ]   =  831, 600   identifiable "words"

 

  

CPhill May 10, 2015

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