Assignment:
Q1) Find the Shapley- Shubik distribution (in percent) for the system (7: 5,3,2,1,).
Q2) In a cafeteria every meal has a 5 choice main course, a 3 choice salad, and a 2 choice soup, and a 4 choice dessert. If some one ate a different complete meal every day, how many days could he eat before he would start to repeat a meal?
Q3) a) How many tickets for president / vice president/ secretary / and treasurer can be made from the numbers of 11 students? (None can hold more than one office.)
b) How many different 5 member scout divisions can be made from a 20 man military division?
Q4) For each weighted voting system find all dictators, veto power players, and dummies ( 13: 8,3,3,2,1,)
Q5) Solve: 2( 3y+4)-5_y-2)=3y-6(y-3).
Provide complete and step by step solution for the question and show calculations and use formulas.