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Joe wants to find all the four-letter words that begin and end with the same letter. How many combinations of letters satisfy this property?

 Sep 9, 2018
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Pick a letter, there are 26 choices, that letter is the first and last letter in the word.

 

We then have 2 slots left and can choose any letters to fill them.  There are 262 ways of choosing them

 

So there are 26x262 = 263 =17576 words with this property

 Sep 9, 2018

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