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25.02.2020 •
Mathematics
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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Ответ:
a) 3876 b) 18480
Step-by-step explanation:
Given , The number of professors = 8
The number of students are available = 11
Total persons = 8+11=19
a) The number of ways to select 4 people =![^{19}C_{4}](/tpl/images/0522/6040/0206d.png)
Hence, the number of ways to select 4 people = 3876.
b) Number of ways to choose 3 professors and 4 students =![^{8}C_{3}\times^{11}C_{4}](/tpl/images/0522/6040/9666b.png)
Hence, the numbers of ways to form a committee with 3 professors and 4 students = 18480.
Ответ: