(Solved):   Draw Venn diagram to solve the following: A professor has two dozen introductory textbooks ...

 

Draw Venn diagram to solve the following: A professor has two dozen introductory textbooks on computer science and is concerned about their coverage of the topics \( (A) \) compilers, \( (B) \) data structures, and \( (C) \) operating systems. The following data are the numbers of books that contain material on these topics: \[ \begin{array}{l|ll} |A|=8 & |B|=13 & |C|=13 \\ |A \cap B|=5 & |A \cap C|=3 & |B \cap C|=6 \\ |A \cap B \cap C|=2 & & \end{array} \] (a) How many of the textbooks include material on exactly one of these topics? (b) How many do not deal with any of the topics? (c) How many have no material on compilers?