## 8 professors and 11 students are available to serve on committee. (a) How many ways can a committee of four people be selected? (b) How many

Question

8 professors and 11 students are available to serve on committee. (a) How many ways can a committee of four people be selected? (b) How many committees can be formed if each committee must have 3 professors and 4 students?

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2021-11-22T10:06:27+00:00
2021-11-22T10:06:27+00:00 1 Answer
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## Answers ( )

Answer: a) 3876 b) 18480Step-by-step explanation:Given, The number of professors = 8The number of students are available = 11

Total persons = 8+11=19

a)The number of ways to select 4 people =Hence, the number of ways to select 4 people = 3876.b)Number of ways to choose 3 professors and 4 students =Hence, the numbers of ways to form a committee with 3 professors and 4 students = 18480.