SOLUTION: a) Two sets P and Q are such that n(P) = 15, n(Q) = 14 and n(P U Q) = 24. Calculate n(P ∩ Q). [2] b) If R = {2, 3, 5, 7}, S = {2, 3, 4, 6} and T = { 2, 5, 6, 7}; list th

Algebra ->  Subset -> SOLUTION: a) Two sets P and Q are such that n(P) = 15, n(Q) = 14 and n(P U Q) = 24. Calculate n(P ∩ Q). [2] b) If R = {2, 3, 5, 7}, S = {2, 3, 4, 6} and T = { 2, 5, 6, 7}; list th      Log On


   

Question 909075: a) Two sets P and Q are such that n(P) = 15, n(Q) = 14 and n(P U Q) = 24.
Calculate n(P ∩ Q). [2]
b) If R = {2, 3, 5, 7}, S = {2, 3, 4, 6} and T = { 2, 5, 6, 7}; list the members of the following sets:
(i) R ∩ S ∩ T [1]
(ii) R U S U T [2]
Use the following Venn Diagram for Part 3c)
c) In a class of 50 students, each student does at least one of the following subjects – Economics (E), Finance (F), or Spanish (S).
(i) Insert in each region of the Venn diagram the number of students in the set which it represents given that of the 18 students who did Finance, 5 also did Economics and Spanish, 2 did Spanish but not Economics, and 3 did Economics but not Spanish. Of the other 32 students, 11 did Spanish only, and 16 did Economics only. [3]
(ii) How many students did both Economics and Spanish? [1]
(iii) How many students did Spanish? [1]
10 marks

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
10 took Economics and Spanish including 5 who also took Finance.
23 took spanish