Homework SourseIn how many ways can a committe consisting of 2 faculty memb
In how many ways can a committe consisting of 2 faculty members and 3 students be formed if 6 faculty members and 10 students are eligible to serve on the committee?
In how many ways can a committe consisting of 2 faculty members and 3 students be formed if 6 faculty members and 10 students are eligible to serve on the committee?
Solution
How many ways can you choose 2 faculty members from 6? 6 choose 2, or 6! / (4! 2!). How many ways can you choose 3 students from 10? 10 choose 3, or 10! / (7! 3!). So the total is:
6! / (4! 2!) * 10! / (7! 3!) = = (10*9*8*7*5)/(2) = (5*9*8*7*5)
