This problem and solution was generated by an imperfect algorithm. Please disect every part of it and identify any potential problems and errors.

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Here is a simple analytical deduction problem:

Problem: A library has 20 books on engineering, 15 books on science, and 12 books on mathematics. In total, there are 47 books. How many books does the library have on each subject?

Solution: To solve this problem, we can use the following steps:

Add up the number of books on each subject: 20 + 15 + 12 = 47
Divide the total number of books by the number of subjects to find the average number of books per subject: 47 / 3 = 15.67
Since it is not possible to have a fraction of a book, we can round up to the nearest whole number. This means that the library has 16 books on engineering, 15 books on science, and 12 books on mathematics.
Therefore, the library has 16 books on engineering, 15 books on science, and 12 books on mathematics.
" The letter e should appear at least 38 times.
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