There was 50 students to choose among three courses Maths, Science and Arts. Here is the information given.
30 choose Arts.
12 choose Science.
10 choose both Arts and Science.
8 choose Arts and Mathematics.
6 choose Arts, Science and Mathematics.
14 choose none of them.
Also, the number of students who choose Mathematics is three times the students who choose Mathematics and Science.
The question is, what is the total number of students who choose Maths only, Science only and Arts only ?
I am okay if I do it using Venn diagram. But how to do it by using inclusion-exclusion principle ?