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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?

 

Option: 1

212


Option: 2

316


Option: 3

512


Option: 4

144


Answers (1)

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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 \times 8 options \times 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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HARSH KANKARIA

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