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The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How
many passwords are possible if letters can be repeated?​


Sagot :

Answer:

There are 4 possible options for the first letter in the code.

Step-by-step explanation:

For any first letter, there are also 4 options for the next one, or 4 x 4 = 16 combinations of 2 letters.

For each of the 16 combinations above, there are 4 options for a third letter, or 16 x 4 = 64 combinations of 3 letters.

Each of these 64 combinations may also end with any of the 4 letters, thus giving a total of 64 x 4 = 256 codes.

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