SOLUTION: how many ways can a group of 7 (out of the 12 members) be chosen to work on a special project Suppose that out of the 12 members on the team 7 are IT majors and 5 math majors.

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Question 444128: how many ways can a group of 7 (out of the 12 members) be chosen to work on a special project
Suppose that out of the 12 members on the team 7 are IT majors and 5 math majors.
How many groups of 7 people can be formed that contain 4 IT majors and 3 math majors?
How many groups of seven can be formed that contain a least 1 IT major
Suppose that two team members (of the 12 of either major) refuse to work together. How many groups of seven can be chosen to work on a project?
Suppose that two team members insist on either working together or not at all on projects. (That is, either the two people both work on the project together or neither will work on the project.) How many groups of seven can be chosen to work on a project?

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
how many ways can a group of 7 (out of the 12 members) be chosen to work on a special project .
12C7
=12!/(5!*7!)
=792
.
Ed

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