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The university senate needs to select an eight-person committee from a pool of 20 faculty members consisting of 14 professors and 6 instructors. How many

The university senate needs to select an eight-person committee from a pool of 20 faculty members consisting of 14 professors and 6 instructors.

How many ways can they select a group of 8 faculty members to form the committee if they must choose exactly 6 professors?

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