How many different three-letter codes can be formed using the letters A, B, C, D, E, F, G, and H if repetition is allowed?
212
316
512
144
If repetition is allowed, there are 8 options for each position in the three-letter code (A, B, C, D, E, F, G, H). Since there are three positions, the total number of different three-letter codes that can be formed is calculated by multiplying the number of options for each position:
8 options 8 options
8 options = 512 different three-letter codes.
Therefore, there are 512 different three-letter codes that can be formed using the letters A, B, C, D, E, F, G, and H when repetition is allowed.
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