Answer:
676
Step-by-step explanation:
To find out how many different 2-letter initials are possible if letters can be repeated, we can use the concept of permutations with repetition.
In this case, we have 26 choices for each of the two positions in the initials. Since repetitions are allowed, we can use the formula for permutations with repetition, which is given by:
[tex]n^r[/tex]
where:
- "n" is the number of choices for each position (26 letters in the alphabet in this case).
- "r" is the number of positions (2 positions for the initials).
Substitute these values into the formula:
26² = 676
Therefore, there are 676 different 2-letter initials possible when letters can be repeated from a 26-letter alphabet.
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