7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen 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? 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?

Question
7. A computer programming team has 13 members.
a. How many ways can a group of seven be chosen 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?
Expand
Transcribed Image Text

7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen 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?
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?
Expand
Transcribed Image Text

(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? 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?

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