Homework o 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 o (i) How many groups of seven can be chosen that contain four women and three men o (ii) How many groups of seven can be chosen that contain at least one man? (ii ) How many groups of seven can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of seven can be chosen to work on a project