In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
A.
4
B.
8
C.
16
D.
20
Correct Answer: 20
Explanation
Let the number of people that offer both Mathematics and Physics = y
Then, (32−y)+y+(24−y)+4=40
60−y=40⟹y=20
∴
20 students offer both Mathematics and Physics.
Let the number of people that offer both Mathematics and Physics = y
Then, (32−y)+y+(24−y)+4=40
60−y=40⟹y=20
∴
20 students offer both Mathematics and Physics.