7. A computer programming team has 13 members. a. How many ways can a group of seven be cho- sen to work on a project? b. Suppose seven 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?

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7. A computer programming team has 13 members.
a. How many ways can a group of seven be cho-
sen to work on a project?
b. Suppose seven team members are women and
six are men.
(1) 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?
Transcribed Image Text:7. A computer programming team has 13 members. a. How many ways can a group of seven be cho- sen to work on a project? b. Suppose seven team members are women and six are men. (1) 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?
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