Question: Probability and Counting Principles A committee is to be made up to discuss education in today's technological age. Thecommittee is to consist of 7 people

Probability and Counting Principles

A committee is to be made up to discuss education in today's technological age. Thecommittee is to consist of 7 people chosen from 8 students, 10 teachers, and 10 business executives. What is the probability that:

  1. a)there is exactly one student on the committee
  2. b)there are no teachers on the committee
  3. c)there is at least one teacher on the committee

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