SOLUTION: A committee of six is to be chosen from the 25 members of the student council(inculding the executive) to organize sprit week activities. In how many ways can this be done if; a)

Question 803314: A committee of six is to be chosen from the 25 members of the student council(inculding the executive) to organize sprit week activities. In how many ways can this be done if;
a) There are no restrictions
b) There are 14 junior council members and 11 senior members; the committee must include four junior members and 2 seniors.
c) the social director and student council vice-president must be on the committee.
d) there must be at least two of the six executive members on the committee.
I only need help on part c) but i thought who ever responded would like all the information.
thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of six is to be chosen from the 25 members of the student council(inculding the executive) to organize sprit week activities. In how many ways can this be done if;
a) There are no restrictions
b) There are 14 junior council members and 11 senior members; the committee must include four junior members and 2 seniors.
c) the social director and student council vice-president must be on the committee.
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Note on "c": That means you only have to choose 4 more members from 23
Ans: 23C4 = 8855 ways
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Cheers,
Stan H.
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