The number of elements in the universal set, n(U), given n(x)=58 and n(X')=219, is Consider the Venn diagram shown. a) Determine YUZ b) Determine (YZ) c) Determine XY d) Determine (XY) e) Determine (X\Y) (Z\Y) f) Determine ((X\Y)(Z\Y)) X A E IOJ B C D KFGH TL M N W N (2) (4) 12. If the statement below is biconditional, rewrite it in biconditional form. If the statement is not biconditional, provide a counterexample. "If you have a Canadian coin worth two dollars, then you have a toonie." 13. Grade 12 students were surveyed about their extra curricular activities. Determine the following amounts. a) n((SUC)\B) b) n((SC)\B) c) n((BUC) (BUS)) d) n(C\B\S) Sports Team 32 S 2 School Club 19 17 22 Band or Choir (B) 14. A car dealer conducted a survey of 230 customers about three options: Global Positioning System (GPS), power windows (W), and automatic headlights (H). 126 like the GPS 87 like the windows 105 like the headlights 23 like the GPS and windows, but not the headlights. 22 like the windows and headlights, but not the GPS. 31 like the headlights and GPS, but not the windows. .12 like all three options. Draw a Venn diagram. (4 marks) A. B. How many customers did not like any of the three options? (3 marks)