Learning Goal: Solve complex counting problems in a variety of ways Learning Goal: Use diagrams to solve counting problems Choose only one problem to solve from the list below. The maximum level for the question is shown above it. Level 2+ Level 3+ Level 4+ There are 29 students who Students were polled about Students were polled about like Luke Skywalker and 30 their favorite Star Wars their favorite Star Wars students who like Hans Solo. Robot. Robot. Let L= {like Luke} 30 like R2D2 25 like R2D2 only Let H={like Hans} 20 like C3PO 35 like C3PO a) If there are 42 40 like BB8 10 like BB8 only students in all, how 10 like both R2D2 and 12 like both R2D2 and many students love C3PO C3PO only both? Use a Venn 5 like both C3PO and BB8 8 like both C3PO and BB8 3 like BB8 and R2D2 diagram to illustrate 6 like BB8 and R2D2 2 like all three the solution. 3 like all three Let R={like R2D2} Let R={like R2D2} b) What is the value of Let C={like C3PO} Let C={like C3PO} n (H UL)? Let B={like BB8} Let B={like BB8} c) What is the value of a) Draw a Venn diagram a) Draw a Venn diagram n (L')? What does it to illustrate this to illustrate this situation represent in the situation b) Determine the value context of the b) Determine the value of n(S) of n(S) question? c) Determine n(R UC) c) Determine n(R UC) d) Determine n(B'). d) Determine n(B'). What does that What does that represent in the represent in the context of the context of the