solve the following

When the West Dumfries poker club has five members: three Kings who get 10 votes each, and two 6's who get 6 votes each (so in poker language, its a full house!) It takes at least 30 votes to pass a resolution; otherwise it fails. Lets call the Kings A, B and C and the 6's Y and 2. So the voters in this system are A, B, C, Y, and Z, and the two candidates are P and F. 1. This voting system is Anonymous (T or F) . Write why on your answer sheet. 2. This voting system is Neutral (T or F) . Write why on your answer sheet. 3. This voting system is Monotone (T or F) . Write why on your answer sheet. 4. This voting system is Decisive (T or F) . Write why on your answer sheet. 5. What is the total number of coalitions? 6. How many coalitions, altogether, consist of exactly 2 Kings and 2 6'5? 7. The coalitions in 6. are winning? Enter T or F 8. Consider the coalition ABYZ. Who are the critical members of this coalition? Write the letters in alphabetical order with no spaces. 9. Consider the coalition ABC (three kings). Who are the critical members of this coalition? Write the letters in alphabetical order with no spaces. 10. How many winning coalitions are there altogether? Recall that the Banzhaf power of a voter is the number of times that voter is a critical member of a winning coalition. 11. The Banzhaf power of each 6 is. 12. 1The Banzhaf power of the King is