Mathematics · Set Theory

In a coaching institute, students can enroll in three different courses: Aptitude (A), Reasoning (R), and English (E). It is given that 55% of the students enrolled in Aptitude, 48% enrolled in Reasoning, and 42% enrolled in English. Also, 25% of the students enrolled in both Aptitude and Reasoning, 20% enrolled in both Reasoning and English, and 18% enrolled in both Aptitude and English. Further, 10% of the students enrolled in all three courses. Find the percentage of students who did not enroll in any course.