(Solved): Part B and C only Three problems, A,B and C, were given to a group of students. The Venn diagram s ...

Part B and C only

Three problems, $$A,B$$ and $$C$$, were given to a group of students. The Venn diagram shows how many students solved the problems. Each student solved at least one problem. a) how many students solved problem A only? b) find the maximum number of students who could have solved $$A$$ or $$B$$ or $$C$$. c) Find the minimum number of students who could have solved A or B or C. d) Given that twice as many students solved problem $$\underline{B}$$ only as solved problem $$\underline{C}$$ only, What is the probability that a student picked at random solved problem $$B$$ ?