Example 7. In a survey of 35 students, 17 have opted Management, 10 have opted Management, but not Engineering. Find the number of Students who have opted both Management and Engineering and the number of students who have opted Engineering but not Management, if it is given that each student has opted either Management or Engineering or both.

Example 7. In a survey of 35 students, 17 have opted Management, 10 have opted Management, but not Engineering. Find the number of Students who have opted both Management and Engineering and the number of students who have opted Engineering but not Management, if it is given that each student has opted either Management or Engineering or both.