NIMCET 2015 Question Paper with solutions

A professor has 24 text books on computer science andis concerned about their coverage of the topics (P)compilers, (Q) data structures and (R) operatingsystems. The following data gives the number of booksthat contain material on these topics n (P) = 8, n (Q) = 13, n (R) = 13, n (P ∩ Q) = 5 , n (P ∩ R) = 3 , n (Q ∩ R) = 6 , n (P ∩ P ∩ Q ∩ R) = 2 , where n(x) is the cardinality of the set ‘x’. Then the number of text books that have no material on compilers is;