Discrete Maths

In a University, 300 students have access to three services Printer, Modem and Scanner: 84 did not use any service 24 used only service Printer 78 used only service Modem 21 used only service Scanner 30 used all three services 39 used both Printer and Modem (i) Draw a Venn diagram with all sets enumerated as for as possible. Label the two subsets which cannot be enumerated as A and B, in any order. (ii) Write down a pair of simultaneous equations in A and B if twice as many students used service Modem as service Printer. (iii) Solve these simultaneous equations to find A and B. (iv) How many students used service Printer? (v) How many students used service Modem