Final answer:
To find the number of students who wanted to be neither an engineer nor a doctor, subtract the number of students who wanted to be both from the total number of students interviewed.
Step-by-step explanation:
To find the number of students who wanted to be neither an engineer nor a doctor, we need to subtract the number of students who wanted to be both from the total number of students interviewed.
Total students interviewed: 300
Students who wanted to be engineers: 190
Students who wanted to be doctors: 160
Students who wanted to be both: 120
So, the number of students who wanted to be neither is:
Total students - Students who wanted to be engineers - Students who wanted to be doctors + Students who wanted to be both
= 300 - 190 - 160 + 120 = 70
Therefore, 70 students wanted to be neither an engineer nor a doctor.