Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

In a class of 40 students, 32 are good in mathematics, 24 in physics, and 4 take neither. How many are good in both mathematics and physics?
Options
A 56
B 17
C 20
Correct Answer
D 58
Correct Answer

Option C is the correct answer.

Detailed Explanation

Students taking at least one = 40 − 4 = 36. Using inclusion-exclusion: 36 = 32 + 24 − x → x = 20.

Hint

Find those taking at least one, then apply inclusion-exclusion.

Question Info