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Assume there are 65 students in our class and that 30 of the students are women....

  1. Assume there are 65 students in our class and that 30 of the students are women.

    (a) How many different 6 member committees are there? (Please leave your answer in terms of (n k) <-- on top of each other

    (b) How many different 6 member committees are there if the committees contain 3 men and 3 women?

    (c) How many different 6 person committees are there if there one president, one vice-president, and 4 other members?

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