Each student in a certain college dormitory takes at least one of three courses: Art 101, English 101, and Math 101. If 19 students study English, 22 students study math, 22 students study art, 7 students study English and art, 8 students study English and math, and 9 students study art and math, and 3 students study all 3 subjects, then how many students are there in the dormitory?
A.
39
B.
42
C.
45
D.
48
Exam No：2016 First Round Grades 10-12 Year：2016 Question No：20
Answer:
B
Knowledge points:
G10-12 - Combinatorics - Inclusion-Exclusion Principle (PIE)
Solution:
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