Question

How many different committees can be formed from 8 teachers and 38 students if the commin how many ways can the committee of 8 members be​ selectedttee consists of 4 teachers and 4 ​students?

In how many ways can the committee of 8 members be​ selected

Answer 1

5,167,050

Explanation:

8C4 ways for teachers and 38C4 ways for students

i.e. 8!/4!4! => 70 ways for teachers

38!/4!34! => 73,815 ways for teachers

Choices are independent so 70 x 73,815 => 5,167,050 in total