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8 teachers, 2 vice principals and 6 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made

8 teachers, 2 vice principals and 6 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if:

A) There are no restrictions

B) there must be three students on the committee

C) There must be no more than 2 teachers on the committee

D) There must be at least one teacher, one vice principle, and at least one student on the committee.

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