How many 3-letter code words can be formed from the letters A,B,C,D,E,F,G, if no letter is repeated? If letters can be repeated? If adjacent letters must be different?

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1 Answer

No repeats: 7*6*5=210

With repeats: 7³=343

Adjacent different:

7*6=42 ways of picking 2 different adjacent letters; 6 choices for 3rd letter: 6*42=252

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