Question

Suppose a class consists of 3 sophomores, 4 juniors, and 2 seniors (no freshmen). We want one person from each of the class years to do a presentation. How many different sets of presenters are there?

Answer 1

There are 24 different sets of presenters.

Step-by-step explanation:

We have:

3 sophmores

4 juniors

2 seniors

The presentation has the following format:

So - J - Sr

Since there are 3 sophmores, 4 juniors and 2 seniors, we have that:

For each sophmore, 4 juniors can present.

For each junior, 2 seniors can present

There are 3 sophmores

So there are

`3*4*2 = 24`

There are 24 different sets of presenters.