Question

In a group of 120 students,90 students study mathematics and 72 study science. if 10 of the student does not study any subject

1)find the no.of students who study atleast 1 subject
2)number of students studying both subjects
3)how many students will study mathematics only?
4)how many students will study science only?

Answer 1

Explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

= 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20