A class has 5 freshmen, 4 sophomores, 6 juniors, and 5 seniors. A committee is to be formed by selecting two members from the seniors and one member from each of the other grades. How many different committees are there?

Guest Feb 6, 2021

#1**+1 **

We can pick 2 seniors and there are 5 seniors so 5 x 4 = **20 ways to pick seniors **

We can pick 1 freshman and there are 5 freshmen so **5 ways to pick freshman**

We can pick 1 sophomore and there are 4 so** 4 ways to pick sophomores. **

We can pick 1 junior and there are 6 so **6 ways to pick a junior**

**20 x 5 x 4 x 6 = 2400 different comittees**

Nappe Feb 6, 2021