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September 23rd, 2011, 06:20 AM  #1 
Newbie Joined: Sep 2011 Posts: 29 Thanks: 0  How many words of seven letters
There are letters {a, a, a, b, e, e, c } How many words of seven letters  different letter queues  can be formed of them? There has to be for example two times a and so on in the word. My solution is just n over k: 7 4 ( 7, because there are 7 characters and 4 because there are 4 different characters, three are similar ) 
September 23rd, 2011, 08:37 AM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: How many words of seven letters Hello, mike688! Quote:
If we had seven different letters, there would be possible permutations. Since the three 's are identical, our number is too large by a factor of Since the two 's are identical, our number is too large by a factor of [color=beige]. . [/color]The number of permutations is:[color=beige] .[/color]  
September 23rd, 2011, 09:56 AM  #3 
Newbie Joined: Sep 2011 Posts: 29 Thanks: 0  Re: How many words of seven letters
Soroban, thank you very much!


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