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Dave's Dillemma.  

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Dave's Dillemma Dave is playing with arrangements of the letters of his name. Here are the arrangements for DAVE: As you can see, there are 24 possible arrangements for the name DAVE. There are four letters in the name, and six arrangements starting with each letter. 4! = 4 x 3 x 2 x 1 =24 (! Means factorial and is a button found on a scientific calculator) e.g. 4! = 4 x 3 x 2 x 1 = 24 3! = 3 x 2 x 1 = 6 Here are the arrangements for DAVE's friend EMMA: There are 12 possible arrangements for the name EMMA. There are four letters in the name, but one is repeated twice. Because of this we get only 12 arrangements opposed to 24 and this is because the two letters are repeated twice. Here are the arrangements for EMMM: There are 4 arrangements for EMMM, one-third of the arrangements for EMMA, which are 12. This tells us...

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