Correct option is D
Given:
- Total students = 50
- Students taking Computer = 18
- Students taking Sanskrit = 26
- Students taking both Computer and Sanskrit = 2
Step 1: Find students taking either Computer or Sanskrit.
The formula for students in either group is:
Students in Computer or Sanskrit=(Students in Computer)+(Students in Sanskrit)−(Students in both)\text{Students in Computer or Sanskrit} = (\text{Students in Computer}) + (\text{Students in Sanskrit}) - (\text{Students in both})Students in Computer or Sanskrit=(Students in Computer)+(Students in Sanskrit)−(Students in both)
Substitute the values:
Students in Computer or Sanskrit=18+26−2=42\text{Students in Computer or Sanskrit} = 18 + 26 - 2 = 42Students in Computer or Sanskrit=18+26−2=42
Step 2: Find students not enrolled in either subject.
The total number of students is 50, so the number of students not enrolled in either subject is:
Students not in Computer or Sanskrit=Total students−Students in Computer or Sanskrit\text{Students not in Computer or Sanskrit} = \text{Total students} - \text{Students in Computer or Sanskrit}Students not in Computer or Sanskrit=Total students−Students in Computer or Sanskrit
Substitute the values:
Students not in Computer or Sanskrit=50−42=8\text{Students not in Computer or Sanskrit} = 50 - 42 = 8Students not in Computer or Sanskrit=50−42=8

