Final answer:
There are 676 two-letter codes that can be formed using all the letters in the alphabet, allowing for the use of the same letter twice.
Step-by-step explanation:
To calculate the number of two-letter codes that can be formed using all the letters in the alphabet, we need to determine the total number of combinations possible.
Since we are allowed to use the same letter twice, we can choose any letter from the alphabet for the first position and any letter for the second position. There are 26 choices for each position.
Therefore, the total number of two-letter codes is 26 x 26 = 676.