4. Consider the following school choice problem with qa = 2, qb = 1, qc = 2,qa = 1. School priorities: Student preferences: a b C d 2 3 4 5 6 d b b b 5 6 b d a b C UANWE a d C a Determine the matching obtained by the a) TTC rule for school choice problems. b) Boston rule. C) DA rule. d) Shanghai rule (i.e., the Application-Rejection rule with e = 2). e) Favored Student rule where student 1 is favored, and the other students are not. Which one of the above rules is f) stable? g) strategyproof? h) Pareto efficient