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How many 3-letter words can we make from the letters A, B, C, and D, if we are allowed to repeat letters, and we must use the letter A at least once?

 Oct 9, 2018
 #1
avatar+99617 
+2

A B C   =  3!   = 6

A B D  =   3!  = 6

A C D  =   3!  = 6

A B B  =  3! / 2!  = 3

A C C  =  3! / 2!  = 3

A D D  =  3! / 2!  = 3

 

A A B  = 3

A A C  =  3

A A D  = 3

 

A A A  = 1

 

So....I get   37

 

Anyone get something different  ???

 

 

cool cool cool

 Oct 9, 2018

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