Question: A class of 30 students was given a diagnostic test on the first day of a mathematics course. At the end of the semester, only

A class of 30 students was given a diagnostic test on the first day of a mathematics course. At the end of the semester, only 2 of the 21 students who had passed the diagnostic test failed the course. A total of 23 students passed the course. How many students managed to pass the course even though they failed the diagnostic test?

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