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  • How many different four-letter codes can be formed using the letters A, B, C, D, and E if repetition is allowed?Option: 1 825<div class

How many different four-letter codes can be formed using the letters A, B, C, D, and E if repetition is allowed?

Option: 1

825


Option: 2

645


Option: 3

625


Option: 4

785


Answers (1)

best_answer

If repetition is allowed, we can use the concept of combinations with repetition to calculate the number of different four-letter codes that can be formed using the letters A, B, C, D, and E.

For each of the four positions, we have 5 choices (A, B, C, D, or E). Since repetition is allowed, we can choose any of these 5 letters for each position independently.

Therefore, the total number of different four-letter codes with repetition allowed is calculated as:

5 \times 5 \times 5 \times 5=5^4=625.

Hence, there are 625 different four-letter codes that can be formed using the letters A, B, C, D, and E when repetition is allowed.

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Anam Khan

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