Suppose a 5-member council is being formed from among a group of 22 people, each of whom belongs to one of the following 4 houses: baratheon, stark, lannister, and targaryen. in this group of people, 3 are baratheons, 8 are starks, 9 are lannisters, and 2 are targaryens. a. in how many ways can a 5-member council be created from among these 22 people? b. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon? c. in how many ways can a 5-member council be created from among these 22 people if the council must have at most 3 lannisters? d. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon and at most 3 lannisters? e. in how many ways can a 5-member council be created from among these 22 people if the council must have exactly 1 baratheon or at most 3 lannisters?