Question Detail

MTH 101 Set Theory Objective Question

Question

In a class of 56 students, 39 study Math and 30 Chemistry. If 5 study neither, how many study Chemistry but not Math?
Options
A 12
Correct Answer
B 17
C 15
D 10
Correct Answer

Option A is the correct answer.

Detailed Explanation

Total studying at least one = 56-5=51. Intersection = 39+30-51=18. Chemistry only = 30-18=12.

Hint

Find intersection first using n(M∪C)=n(M)+n(C)-n(M∩C)

Question Info