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A committee is to be struck to review the classrooms in today's technological age. The committee is to consist of 5 people chosen randomly from

A committee is to be struck to review the classrooms in today's technological age. The committee is to consist of 5 people chosen randomly from 23 people comprised of the following interest groups: 8 students, 10 teachers, and 5 members of the community.

1. What is the probability that there will be exactly two teachers on the committee?

2. What is the probability that there will be at least 3 students on the committee?

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