A computer programming team has17members. (For each answer, enter an exact number.)

A computer programming team has 1? members. (For each answer, enter an exact number.) {a} How many ways can a group of nine be chosen to work on a project? (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? (ii) How many groups of nine can be chosen that contain at least one man? (iii) How many groups of nine can be chosen that contain at most three women? {c} Suppose two team members refuse to work together on projects. How many groups of nine can be chosen no work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project