Six people attend the theater together: (a) How many ways can they be seated in a row?

5. Six people attend the theater together: (a) How many ways can they be seated in a row? (b) Suppose one of the six is a doctor who must sit on the aisle in case he is paged. How many ways can the people be seated in a row of seats if exactly one of the s eats is on the aisle and the doctor is in the aisle seat? (0) Suppose the six people consist of three married couples and each couple wants to sit together with the husband on the left. How many ways can the six be seated in a row? 6. A computer programming team has 14 members. (a) How many ways can a group of seven be chosen to work on a project? (b) Suppose eight team members are women and six are men. i. How many groups of seven can be chosen that contain four women and three men? ii. How many groups of seven can be chosen that contain at least one man? iii. How many groups of seven can be chosen that contain at most three women