Here is a question,
There are 70 students in a music class. 20 can play violin. 10 can play the flute. 15 can play the guitar. 4 can play both violin and flute. 7 can play both flute and guitar. 3 can play all violin flute and guitar. 9 have just enrolled into the class and can not play any instrument fluently.
- How many people can play both violin and guitar?
- How many people can play only flute and no other instrument?
(It should be solved by making Venn Diagram.) When I tried, I was able to do the first, the answer comes out to be 0. But I am stuck with the second one, I tried 10-7-3-4 but the answer comes out to be negative. Please help me out.
EDIT: Here is the diagram,