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Answer to Question #28886 in Discrete Mathematics for solomon

Question #28886
In how many ways can a committee of 5 be formed from a group of 11 people consisting of 4 teachers and 7 students if
1. There is no restiriction in the selection?
2. The committee must include exactly 2 teachers?
3. The committee must include at least 3 teachers?
4. A particular teacher and a particular student cannot be both in the committee?
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